diff --git a/.vscode/settings.json b/.vscode/settings.json
index 0f0399082a6..cb928ceff40 100644
--- a/.vscode/settings.json
+++ b/.vscode/settings.json
@@ -17,5 +17,9 @@
     "temp": true,
     "**/test/**/temp": false,
     "coverage": true
+  },
+  "files.associations": {
+    "rush.json": "jsonc",
+    "**/common/config/rush/*.json": "jsonc"
   }
 }
diff --git a/apps/rush-lib/assets/rush-init/rush.json b/apps/rush-lib/assets/rush-init/rush.json
index 62fa181790e..ccef81732ee 100644
--- a/apps/rush-lib/assets/rush-init/rush.json
+++ b/apps/rush-lib/assets/rush-init/rush.json
@@ -270,6 +270,14 @@
    */
   /*[LINE "HYPOTHETICAL"]*/ "hotfixChangeEnabled": false,
 
+  /**
+   * If a warning message matches any of the regular expressions listed here, it should be treated
+   * as a standard log message rather than a warning. This prevents inconsequential warning messages
+   * caused by external packages from breaking incremental builds (packages marked as "success with
+   * warnings" will be rebuilt on each rush build).
+   */
+  /*[LINE "HYPOTHETICAL"]*/ "suppressedWarnings": [],
+
   /**
    * (Required) This is the inventory of projects to be managed by Rush.
    *
diff --git a/apps/rush-lib/src/api/RushConfiguration.ts b/apps/rush-lib/src/api/RushConfiguration.ts
index fb337793f31..5b954585dc1 100644
--- a/apps/rush-lib/src/api/RushConfiguration.ts
+++ b/apps/rush-lib/src/api/RushConfiguration.ts
@@ -122,6 +122,7 @@ export interface IRushConfigurationJson {
   yarnOptions?: IYarnOptionsJson;
   ensureConsistentVersions?: boolean;
   variants?: IRushVariantOptionsJson[];
+  suppressedWarnings?: string[];
 }
 
 /**
@@ -246,6 +247,7 @@ export class RushConfiguration {
   private _variants: {
     [variantName: string]: boolean;
   };
+  private _suppressedWarnings: RegExp[];
 
   // "approvedPackagesPolicy" feature
   private _approvedPackagesPolicy: ApprovedPackagesPolicy;
@@ -734,6 +736,14 @@ export class RushConfiguration {
     return this._ensureConsistentVersions;
   }
 
+  /**
+   * Gets a list of regular expressions for suppressing warnings. If a warning message
+   * matches any of these, it should be treated as a standard message rather than an error.
+   */
+  public get suppressedWarnings(): RegExp[] {
+    return this._suppressedWarnings;
+  }
+
   /**
    * Indicates whether telemetry collection is enabled for Rush runs.
    * @beta
@@ -974,6 +984,9 @@ export class RushConfiguration {
 
     this._ensureConsistentVersions = !!rushConfigurationJson.ensureConsistentVersions;
 
+    const suppressedWarnings: string[] = rushConfigurationJson.suppressedWarnings || [];
+    this._suppressedWarnings = suppressedWarnings.map((value: string) => new RegExp(value));
+
     this._pnpmOptions = new PnpmOptionsConfiguration(rushConfigurationJson.pnpmOptions || {});
     this._yarnOptions = new YarnOptionsConfiguration(rushConfigurationJson.yarnOptions || { });
 
diff --git a/apps/rush-lib/src/logic/taskRunner/ProjectTask.ts b/apps/rush-lib/src/logic/taskRunner/ProjectTask.ts
index 95a7ba38a6e..43033f28d96 100644
--- a/apps/rush-lib/src/logic/taskRunner/ProjectTask.ts
+++ b/apps/rush-lib/src/logic/taskRunner/ProjectTask.ts
@@ -160,8 +160,14 @@ export class ProjectTask implements ITaskDefinition {
         });
 
         task.stderr.on('data', (data: string) => {
-          writer.writeError(data);
-          this._hasWarningOrError = true;
+          // If this error matches any of the suppressed warnings from the config, write it to
+          // stdout instead of stderr and don't treat the task as having a warning/error.
+          if (this._rushConfiguration.suppressedWarnings.some((warning: RegExp) => warning.test(data))) {
+            writer.write(data);
+          } else {
+            writer.writeError(data);
+            this._hasWarningOrError = true;
+          }
         });
 
         return new Promise((resolve: (status: TaskStatus) => void, reject: (error: TaskError) => void) => {
diff --git a/apps/rush-lib/src/schemas/rush.schema.json b/apps/rush-lib/src/schemas/rush.schema.json
index 714969a6345..2251e161cb2 100644
--- a/apps/rush-lib/src/schemas/rush.schema.json
+++ b/apps/rush-lib/src/schemas/rush.schema.json
@@ -234,7 +234,14 @@
         }
       },
       "additionalProperties": false
-    }
+    },
+    "suppressedWarnings": {
+      "description": "A list of warning messages which should be treated as standard log messages instead of warnings.",
+      "type": "array",
+      "items": {
+        "type": "string"
+      }
+}
   },
   "additionalProperties": false,
   "required": [
diff --git a/common/changes/@microsoft/rush/ignore-warnings_2019-04-10-19-30.json b/common/changes/@microsoft/rush/ignore-warnings_2019-04-10-19-30.json
new file mode 100644
index 00000000000..6b63444b726
--- /dev/null
+++ b/common/changes/@microsoft/rush/ignore-warnings_2019-04-10-19-30.json
@@ -0,0 +1,11 @@
+{
+  "changes": [
+    {
+      "comment": "Add suppressedWarnings option",
+      "packageName": "@microsoft/rush",
+      "type": "none"
+    }
+  ],
+  "packageName": "@microsoft/rush",
+  "email": "ecraig12345@users.noreply.github.com"
+}
\ No newline at end of file
diff --git a/common/reviews/api/rush-lib.api.md b/common/reviews/api/rush-lib.api.md
index 8220d670d8c..9dc98910839 100644
--- a/common/reviews/api/rush-lib.api.md
+++ b/common/reviews/api/rush-lib.api.md
@@ -259,6 +259,7 @@ export class RushConfiguration {
     readonly rushJsonFolder: string;
     readonly rushLinkJsonFilename: string;
     readonly shrinkwrapFilePhrase: string;
+    readonly suppressedWarnings: string[];
     // @beta
     readonly telemetryEnabled: boolean;
     readonly tempShrinkwrapFilename: string;
diff --git a/rush.json b/rush.json
index 0ad0659eab9..1f1a345d668 100644
--- a/rush.json
+++ b/rush.json
@@ -223,6 +223,14 @@
    */
   // "hotfixChangeEnabled": false,
 
+  /**
+   * If a warning message matches any of the regular expressions listed here, it should be treated
+   * as a standard log message rather than a warning. This prevents inconsequential warning messages
+   * caused by external packages from breaking incremental builds (packages marked as "success with
+   * warnings" will be rebuilt on each rush build).
+   */
+  // "suppressedWarnings": [],
+
   /**
    * (Required) This is the inventory of projects to be managed by Rush.
    *