diff --git a/CHANGELOG.md b/CHANGELOG.md
index 461c12a95c7..fe3e35f36d9 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -48,6 +48,8 @@ All notable changes for each version of this project will be documented in this
     - Exposed new input `buttonText` which sets the text that is displayed inside the dropdown button in the toolbar.
 - `IgxCombo`
     - Added `groupSortingDirection` input, which allows you to set groups sorting order.
+- `IgxGrid`, `IgxTreeGrid`, `IgxHierarchicalGrid`
+    - Added new directives for re-templating header sorting indicators - `IgxSortHeaderIconDirective`, `IgxSortAscendingHeaderIconDirective` and `IgxSortDescendingHeaderIconDirective`.
 - `IgxDialog`
     - Added `focusTrap` input to set whether the Tab key focus is trapped within the dialog when opened. Defaults to `true`.
 
diff --git a/projects/igniteui-angular/src/lib/core/styles/components/grid/_grid-theme.scss b/projects/igniteui-angular/src/lib/core/styles/components/grid/_grid-theme.scss
index 6fe42c2dfe9..e1a9fee5710 100644
--- a/projects/igniteui-angular/src/lib/core/styles/components/grid/_grid-theme.scss
+++ b/projects/igniteui-angular/src/lib/core/styles/components/grid/_grid-theme.scss
@@ -1603,11 +1603,14 @@
         }
 
         .sort-icon {
-            width: rem(15px);
-            height: rem(15px);
-            min-width: rem(15px); /* yeah IE, it really needs to be 15px wide... */
-            font-size: rem(15px);
             position: relative;
+            display: flex;
+
+            igx-icon {
+                width: rem(15px);
+                height: rem(15px);
+                font-size: rem(15px);
+            }
 
             &::after {
                 content: attr(data-sortIndex);
diff --git a/projects/igniteui-angular/src/lib/grids/grid-base.directive.ts b/projects/igniteui-angular/src/lib/grids/grid-base.directive.ts
index c8ede753788..dd934e3f1c1 100644
--- a/projects/igniteui-angular/src/lib/grids/grid-base.directive.ts
+++ b/projects/igniteui-angular/src/lib/grids/grid-base.directive.ts
@@ -93,8 +93,9 @@ import { CharSeparatedValueData } from '../services/csv/char-separated-value-dat
 import { IgxColumnResizingService } from './resizing/resizing.service';
 import { IFilteringStrategy } from '../data-operations/filtering-strategy';
 import {
-    IgxRowExpandedIndicatorDirective, IgxRowCollapsedIndicatorDirective,
-    IgxHeaderExpandIndicatorDirective, IgxHeaderCollapseIndicatorDirective, IgxExcelStyleHeaderIconDirective
+    IgxRowExpandedIndicatorDirective, IgxRowCollapsedIndicatorDirective, IgxHeaderExpandIndicatorDirective,
+    IgxHeaderCollapseIndicatorDirective, IgxExcelStyleHeaderIconDirective, IgxSortAscendingHeaderIconDirective,
+    IgxSortDescendingHeaderIconDirective, IgxSortHeaderIconDirective
 } from './grid/grid.directives';
 import {
     GridKeydownTargetType,
@@ -765,8 +766,8 @@ export abstract class IgxGridBaseDirective extends DisplayDensityBase implements
      * <igx-grid #grid [data]="localData" (rowAdd)="rowAdd($event)" [height]="'305px'" [autoGenerate]="true"></igx-grid>
      * ```
      */
-     @Output()
-     public rowAdd = new EventEmitter<IGridEditEventArgs>();
+    @Output()
+    public rowAdd = new EventEmitter<IGridEditEventArgs>();
 
     /**
      * Emitted after column is resized.
@@ -1252,6 +1253,24 @@ export abstract class IgxGridBaseDirective extends DisplayDensityBase implements
     @ContentChild(IgxExcelStyleHeaderIconDirective, { read: TemplateRef })
     public excelStyleHeaderIconTemplate: TemplateRef<any> = null;
 
+    /**
+     * The custom template, if any, that should be used when rendering a header sorting indicator when columns are sorted in asc order.
+     */
+    @ContentChild(IgxSortAscendingHeaderIconDirective, { read: TemplateRef })
+    public sortAscendingHeaderIconTemplate: TemplateRef<any> = null;
+
+    /**
+     * The custom template, if any, that should be used when rendering a header sorting indicator when columns are sorted in desc order.
+     */
+    @ContentChild(IgxSortDescendingHeaderIconDirective, { read: TemplateRef })
+    public sortDescendingHeaderIconTemplate: TemplateRef<any> = null;
+
+    /**
+     * The custom template, if any, that should be used when rendering a header sorting indicator when columns are not sorted.
+     */
+    @ContentChild(IgxSortHeaderIconDirective, { read: TemplateRef })
+    public sortHeaderIconTemplate: TemplateRef<any> = null;
+
     /**
      * @hidden
      * @internal
@@ -3437,26 +3456,26 @@ export abstract class IgxGridBaseDirective extends DisplayDensityBase implements
     public setUpPaginator() {
         if (this.paginator) {
             this.paginator.pageChange.pipe(takeWhile(() => !!this.paginator), filter(() => !this._init))
-            .subscribe((page: number) => {
-                this.pageChange.emit(page);
-            });
+                .subscribe((page: number) => {
+                    this.pageChange.emit(page);
+                });
             this.paginator.pagingDone.pipe(takeWhile(() => !!this.paginator), filter(() => !this._init))
-            .subscribe((args: IPageEventArgs) => {
-                this.selectionService.clear(true);
-                this.pagingDone.emit({ previous: args.previous, current: args.current });
-                this.crudService.endEdit(false);
-                this.pipeTrigger++;
-                this.navigateTo(0);
-                this.notifyChanges();
-            });
+                .subscribe((args: IPageEventArgs) => {
+                    this.selectionService.clear(true);
+                    this.pagingDone.emit({ previous: args.previous, current: args.current });
+                    this.crudService.endEdit(false);
+                    this.pipeTrigger++;
+                    this.navigateTo(0);
+                    this.notifyChanges();
+                });
             this.paginator.perPageChange.pipe(takeWhile(() => !!this.paginator), filter(() => !this._init))
-            .subscribe((perPage: number) => {
-                this.selectionService.clear(true);
-                this.perPageChange.emit(perPage);
-                this.paginator.page = 0;
-                this.crudService.endEdit(false);
-                this.notifyChanges();
-            });
+                .subscribe((perPage: number) => {
+                    this.selectionService.clear(true);
+                    this.perPageChange.emit(perPage);
+                    this.paginator.page = 0;
+                    this.crudService.endEdit(false);
+                    this.notifyChanges();
+                });
         } else {
             this.markForCheck();
         }
@@ -3927,7 +3946,7 @@ export abstract class IgxGridBaseDirective extends DisplayDensityBase implements
      * ```
      */
     public get columnsCollection(): IgxColumnComponent[] {
-        return this._rendered ?  this._columns : [];
+        return this._rendered ? this._columns : [];
     }
 
     /**
@@ -5479,7 +5498,7 @@ export abstract class IgxGridBaseDirective extends DisplayDensityBase implements
         const selectedColumns = this.gridAPI.grid.selectedColumns();
         const columnData = this.getSelectedColumnsData(this.clipboardOptions.copyFormatters, this.clipboardOptions.copyHeaders);
         let selectedData;
-        if (event.type === 'copy'){
+        if (event.type === 'copy') {
             selectedData = this.getSelectedData(this.clipboardOptions.copyFormatters, this.clipboardOptions.copyHeaders);
         };
 
@@ -5981,8 +6000,8 @@ export abstract class IgxGridBaseDirective extends DisplayDensityBase implements
 
     protected subscribeToTransactions(): void {
         this.transactionChange$.next();
-        this.transactions.onStateUpdate.pipe(takeUntil(merge(this.destroy$,this.transactionChange$)))
-        .subscribe(this.transactionStatusUpdate.bind(this));
+        this.transactions.onStateUpdate.pipe(takeUntil(merge(this.destroy$, this.transactionChange$)))
+            .subscribe(this.transactionStatusUpdate.bind(this));
     }
 
     protected transactionStatusUpdate(event: StateUpdateEvent) {
@@ -6742,10 +6761,10 @@ export abstract class IgxGridBaseDirective extends DisplayDensityBase implements
         let selectionMap;
         if (this.nativeElement.tagName.toLowerCase() === 'igx-hierarchical-grid' && selectionCollection.size > 0) {
             selectionMap = isRemote ? Array.from(selectionCollection) :
-            Array.from(selectionCollection).filter((tuple) => tuple[0] < source.length);
-        }else {
+                Array.from(selectionCollection).filter((tuple) => tuple[0] < source.length);
+        } else {
             selectionMap = isRemote ? Array.from(this.selectionService.selection) :
-            Array.from(this.selectionService.selection).filter((tuple) => tuple[0] < source.length);
+                Array.from(this.selectionService.selection).filter((tuple) => tuple[0] < source.length);
         }
 
         if (this.cellSelection === GridSelectionMode.single && activeEl) {
diff --git a/projects/igniteui-angular/src/lib/grids/grid-common.module.ts b/projects/igniteui-angular/src/lib/grids/grid-common.module.ts
index fd86432dee7..ac021753854 100644
--- a/projects/igniteui-angular/src/lib/grids/grid-common.module.ts
+++ b/projects/igniteui-angular/src/lib/grids/grid-common.module.ts
@@ -29,6 +29,9 @@ import { IgxGridFilteringModule } from './filtering/base/filtering.module';
 import { IgxRowDirective } from './row.directive';
 import {
     IgxExcelStyleHeaderIconDirective,
+    IgxSortAscendingHeaderIconDirective,
+    IgxSortDescendingHeaderIconDirective,
+    IgxSortHeaderIconDirective,
     IgxGroupAreaDropDirective,
     IgxHeaderCollapseIndicatorDirective,
     IgxHeaderExpandIndicatorDirective,
@@ -58,6 +61,9 @@ import { IgxGroupByMetaPipe } from './grouping/group-by-area.directive';
         IgxHeaderExpandIndicatorDirective,
         IgxHeaderCollapseIndicatorDirective,
         IgxExcelStyleHeaderIconDirective,
+        IgxSortAscendingHeaderIconDirective,
+        IgxSortDescendingHeaderIconDirective,
+        IgxSortHeaderIconDirective,
         IgxGroupAreaDropDirective,
         IgxGroupByMetaPipe
     ],
@@ -93,6 +99,9 @@ import { IgxGroupByMetaPipe } from './grouping/group-by-area.directive';
         IgxHeaderExpandIndicatorDirective,
         IgxHeaderCollapseIndicatorDirective,
         IgxExcelStyleHeaderIconDirective,
+        IgxSortAscendingHeaderIconDirective,
+        IgxSortDescendingHeaderIconDirective,
+        IgxSortHeaderIconDirective,
         IgxGroupAreaDropDirective,
         IgxGroupByMetaPipe
     ],
diff --git a/projects/igniteui-angular/src/lib/grids/grid/grid.directives.ts b/projects/igniteui-angular/src/lib/grids/grid/grid.directives.ts
index 7935aac5c48..2dce1656dfc 100644
--- a/projects/igniteui-angular/src/lib/grids/grid/grid.directives.ts
+++ b/projects/igniteui-angular/src/lib/grids/grid/grid.directives.ts
@@ -72,6 +72,33 @@ export class IgxHeaderCollapseIndicatorDirective {
 export class IgxExcelStyleHeaderIconDirective {
 }
 
+/**
+ * @hidden
+ */
+ @Directive({
+    selector: '[igxSortHeaderIcon]'
+})
+export class IgxSortHeaderIconDirective {
+}
+
+/**
+ * @hidden
+ */
+@Directive({
+    selector: '[igxSortAscendingHeaderIcon]'
+})
+export class IgxSortAscendingHeaderIconDirective {
+}
+
+/**
+ * @hidden
+ */
+@Directive({
+    selector: '[igxSortDescendingHeaderIcon]'
+})
+export class IgxSortDescendingHeaderIconDirective {
+}
+
 /**
  * @hidden
  */
diff --git a/projects/igniteui-angular/src/lib/grids/grid/grid.sorting.spec.ts b/projects/igniteui-angular/src/lib/grids/grid/grid.sorting.spec.ts
index c995a76b912..08810f15587 100644
--- a/projects/igniteui-angular/src/lib/grids/grid/grid.sorting.spec.ts
+++ b/projects/igniteui-angular/src/lib/grids/grid/grid.sorting.spec.ts
@@ -549,5 +549,26 @@ describe('IgxGrid - Grid Sorting #grid', () => {
             expect(grid.sorting.emit).toHaveBeenCalledTimes(2);
             expect(grid.sortingDone.emit).toHaveBeenCalledTimes(2);
         }));
+
+        it('Should allow setting custom templates for header sorting none/ascending/descending icons.', () => {
+            fixture = TestBed.createComponent(SortByParityComponent);
+            fixture.detectChanges();
+            grid = fixture.componentInstance.grid;
+            const fieldName = 'Name';
+            const header = GridFunctions.getColumnHeader(fieldName, fixture, grid);
+            let icon = GridFunctions.getHeaderSortIcon(header);
+
+            expect(icon.nativeElement.textContent.toLowerCase().trim()).toBe('unfold_more');
+
+            grid.sort({ fieldName, dir: SortingDirection.Asc, ignoreCase: false });
+            fixture.detectChanges();
+            icon = GridFunctions.getHeaderSortIcon(header);
+            expect(icon.nativeElement.textContent.toLowerCase().trim()).toBe('expand_less');
+
+            grid.sort({ fieldName, dir: SortingDirection.Desc, ignoreCase: false });
+            fixture.detectChanges();
+            icon = GridFunctions.getHeaderSortIcon(header);
+            expect(icon.nativeElement.textContent.toLowerCase().trim()).toBe('expand_more');
+        });
     });
 });
diff --git a/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.html b/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.html
index 146f92e8aad..f660f47979b 100644
--- a/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.html
+++ b/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.html
@@ -6,24 +6,28 @@
     <igx-icon>more_vert</igx-icon>
 </ng-template>
 
+<ng-template #defaultSortHeaderIconTemplate>
+    <igx-icon>{{ sortDirection < 2 ? 'arrow_upward' : 'arrow_downward' }}</igx-icon>
+</ng-template>
+
 <span class="igx-grid-th__title">
-    <ng-container *ngTemplateOutlet="column.headerTemplate ? column.headerTemplate : defaultColumn; context: { $implicit: column, column: column}">
+    <ng-container
+        *ngTemplateOutlet="column.headerTemplate ? column.headerTemplate : defaultColumn; context: { $implicit: column, column: column}">
     </ng-container>
 </span>
 <ng-container *ngIf="!column.columnGroup">
     <div class="igx-grid-th__icons">
         <ng-container *ngIf="column.sortable">
-            <igx-icon class="sort-icon"
-                [attr.draggable]="false"
-                [attr.data-sortIndex]="column.field | sortingIndex:grid.sortingExpressions"
-                (click)="onSortingIconClick($event)">
-                {{ sortDirection < 2 ? 'arrow_upward' : 'arrow_downward' }}
-            </igx-icon>
+            <div class="sort-icon" [attr.data-sortIndex]="column.field | sortingIndex:grid.sortingExpressions"
+                [attr.draggable]="false" (click)="onSortingIconClick($event)" (pointerdown)="$event.stopPropagation()">
+                <ng-container *ngTemplateOutlet="sortIconTemplate; context: { $implicit:  this }"></ng-container>
+            </div>
         </ng-container>
         <ng-container *ngIf="grid.allowFiltering && column.filterable && grid.filterMode === 'excelStyleFilter'">
-            <div [ngClass]="filterIconClassName" (click)="onFilteringIconClick($event)" (pointerdown)="$event.stopPropagation()">
+            <div [ngClass]="filterIconClassName" (click)="onFilteringIconClick($event)"
+                (pointerdown)="$event.stopPropagation()">
                 <ng-container *ngTemplateOutlet="esfIconTemplate; context: { $implicit:  this }"></ng-container>
             </div>
         </ng-container>
     </div>
-</ng-container>
+</ng-container>
\ No newline at end of file
diff --git a/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.ts b/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.ts
index 07b83d68f42..ed68d5af856 100644
--- a/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.ts
+++ b/projects/igniteui-angular/src/lib/grids/headers/grid-header.component.ts
@@ -44,6 +44,12 @@ export class IgxGridHeaderComponent implements DoCheck, OnDestroy {
     @ViewChild('defaultESFHeaderIconTemplate', { read: TemplateRef, static: true })
     protected defaultESFHeaderIconTemplate: TemplateRef<any>;
 
+    /**
+     * @hidden
+     */
+    @ViewChild('defaultSortHeaderIconTemplate', { read: TemplateRef, static: true })
+    protected defaultSortHeaderIconTemplate;
+
     /**
      * Returns the `aria-selected` of the header.
      */
@@ -131,6 +137,21 @@ export class IgxGridHeaderComponent implements DoCheck, OnDestroy {
         return this.grid.excelStyleHeaderIconTemplate || this.defaultESFHeaderIconTemplate;
     }
 
+    /**
+     * @hidden
+     */
+    public get sortIconTemplate() {
+        if (this.sortDirection === SortingDirection.None && this.grid.sortHeaderIconTemplate) {
+            return this.grid.sortHeaderIconTemplate;
+        } else if (this.sortDirection === SortingDirection.Asc && this.grid.sortAscendingHeaderIconTemplate) {
+            return this.grid.sortAscendingHeaderIconTemplate;
+        } else if (this.sortDirection === SortingDirection.Desc && this.grid.sortDescendingHeaderIconTemplate) {
+            return this.grid.sortDescendingHeaderIconTemplate;
+        } else {
+            return this.defaultSortHeaderIconTemplate;
+        }
+    }
+
     public get sorted() {
         return this.sortDirection !== SortingDirection.None;
     }
diff --git a/projects/igniteui-angular/src/lib/grids/hierarchical-grid/hierarchical-grid.component.ts b/projects/igniteui-angular/src/lib/grids/hierarchical-grid/hierarchical-grid.component.ts
index 0c25dd36446..fc76d90dc71 100644
--- a/projects/igniteui-angular/src/lib/grids/hierarchical-grid/hierarchical-grid.component.ts
+++ b/projects/igniteui-angular/src/lib/grids/hierarchical-grid/hierarchical-grid.component.ts
@@ -441,6 +441,9 @@ export class IgxHierarchicalGridComponent extends IgxHierarchicalGridBaseDirecti
         this.headerCollapseIndicatorTemplate = this.rootGrid.headerCollapseIndicatorTemplate;
         this.headerExpandIndicatorTemplate = this.rootGrid.headerExpandIndicatorTemplate;
         this.excelStyleHeaderIconTemplate = this.rootGrid.excelStyleHeaderIconTemplate;
+        this.sortAscendingHeaderIconTemplate = this.rootGrid.sortAscendingHeaderIconTemplate;
+        this.sortDescendingHeaderIconTemplate = this.rootGrid.sortDescendingHeaderIconTemplate;
+        this.sortHeaderIconTemplate = this.rootGrid.sortHeaderIconTemplate;
         this.hasChildrenKey = this.parentIsland ?
             this.parentIsland.hasChildrenKey || this.rootGrid.hasChildrenKey :
             this.rootGrid.hasChildrenKey;
diff --git a/projects/igniteui-angular/src/lib/test-utils/grid-functions.spec.ts b/projects/igniteui-angular/src/lib/test-utils/grid-functions.spec.ts
index 35de81a1d9d..5681573e413 100644
--- a/projects/igniteui-angular/src/lib/test-utils/grid-functions.spec.ts
+++ b/projects/igniteui-angular/src/lib/test-utils/grid-functions.spec.ts
@@ -1819,7 +1819,7 @@ export class GridFunctions {
 
     public static getColumnGroupHeaderCell(columnField: string, fix: ComponentFixture<any>) {
         const headerTitle = fix.debugElement.queryAll(By.css(GROUP_HEADER_CLASS))
-                                            .find(header => header.nativeElement.title === columnField);
+            .find(header => header.nativeElement.title === columnField);
         return headerTitle.parent;
     }
 
@@ -1867,7 +1867,7 @@ export class GridFunctions {
     }
 
     public static getHeaderSortIcon(header: DebugElement): DebugElement {
-        return header.query(By.css(SORT_ICON_CLASS));
+        return header.query(By.css(SORT_ICON_CLASS))?.query(By.css('igx-icon'));
     }
 
     public static getHeaderFilterIcon(header: DebugElement): DebugElement {
diff --git a/projects/igniteui-angular/src/lib/test-utils/grid-samples.spec.ts b/projects/igniteui-angular/src/lib/test-utils/grid-samples.spec.ts
index 775c8d7577a..9d8e441a11f 100644
--- a/projects/igniteui-angular/src/lib/test-utils/grid-samples.spec.ts
+++ b/projects/igniteui-angular/src/lib/test-utils/grid-samples.spec.ts
@@ -7,7 +7,7 @@ import {
 } from './grid-base-components.spec';
 import { IGridSelection } from './grid-interfaces.spec';
 import { SampleTestData, DataParent } from './sample-test-data.spec';
-import { ColumnDefinitions, GridTemplateStrings, EventSubscriptions } from './template-strings.spec';
+import { ColumnDefinitions, GridTemplateStrings, EventSubscriptions, TemplateDefinitions } from './template-strings.spec';
 import { IgxColumnComponent } from '../grids/columns/column.component';
 import { IgxFilteringOperand, IgxNumberFilteringOperand } from '../data-operations/filtering-condition';
 import { ExpressionUI } from '../grids/filtering/grid-filtering.service';
@@ -2276,7 +2276,10 @@ export class NoColumnWidthGridComponent extends BasicGridComponent {
     template: GridTemplateStrings.declareGrid(
         '',
         '',
-        ColumnDefinitions.idFirstLastNameSortable)
+        ColumnDefinitions.idFirstLastNameSortable,
+        '',
+        '',
+        TemplateDefinitions.sortIconTemplates)
 })
 export class SortByParityComponent extends GridDeclaredColumnsComponent implements ISortingStrategy {
     public sort(data: any[], fieldName: string, dir: SortingDirection) {
diff --git a/projects/igniteui-angular/src/lib/test-utils/template-strings.spec.ts b/projects/igniteui-angular/src/lib/test-utils/template-strings.spec.ts
index 0af0edf9b6c..a0253b287fc 100644
--- a/projects/igniteui-angular/src/lib/test-utils/template-strings.spec.ts
+++ b/projects/igniteui-angular/src/lib/test-utils/template-strings.spec.ts
@@ -19,14 +19,15 @@ export class GridTemplateStrings {
     </igx-grid>`;
 
     public static declareGrid(attributes = ``, events = ``, columnDefinitions: ColumnDefinitions = ``,
-            toolbarDefinition = '', paginatorDefinition = '') {
+        toolbarDefinition = '', paginatorDefinition = '', templateDefinitions: TemplateDefinitions = '') {
         return `<igx-grid [data]="data"
-        ${ attributes}
-        ${ events}
+        ${attributes}
+        ${events}
         >
-        ${ toolbarDefinition }
-        ${ columnDefinitions}
-        ${ paginatorDefinition }
+        ${toolbarDefinition}
+        ${columnDefinitions}
+        ${paginatorDefinition}
+        ${templateDefinitions}
     </igx-grid>`;
     }
 
@@ -489,6 +490,20 @@ export class ColumnDefinitions {
     `;
 }
 
+export class TemplateDefinitions {
+    public static sortIconTemplates = `
+        <ng-template igxSortHeaderIcon>
+            <igx-icon>unfold_more</igx-icon>
+        </ng-template>
+        <ng-template igxSortAscendingHeaderIcon>
+            <igx-icon>expand_less</igx-icon>
+        </ng-template>
+        <ng-template igxSortDescendingHeaderIcon>
+            <igx-icon>expand_more</igx-icon>
+        </ng-template>
+    `;
+}
+
 export class EventSubscriptions {
 
     public static columnInit = ` (columnInit)="columnInit($event)"`;