diff --git a/x-pack/plugins/ml/public/application/components/delete_space_aware_item_check_modal/delete_space_aware_item_check_modal.tsx b/x-pack/plugins/ml/public/application/components/delete_space_aware_item_check_modal/delete_space_aware_item_check_modal.tsx
index 98a6b2cbe4a2e..8ac2a22be5a93 100644
--- a/x-pack/plugins/ml/public/application/components/delete_space_aware_item_check_modal/delete_space_aware_item_check_modal.tsx
+++ b/x-pack/plugins/ml/public/application/components/delete_space_aware_item_check_modal/delete_space_aware_item_check_modal.tsx
@@ -339,12 +339,12 @@ export const DeleteSpaceAwareItemCheckModal: FC<Props> = ({
         <>
           <EuiModalHeader>
             <EuiModalHeaderTitle>
-              <h2>
+              <h1>
                 <FormattedMessage
                   id="xpack.ml.deleteSpaceAwareItemCheckModal.modalTitle"
                   defaultMessage="Checking space permissions"
                 />
-              </h2>
+              </h1>
             </EuiModalHeaderTitle>
           </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/components/validate_job/validate_job_view.js b/x-pack/plugins/ml/public/application/components/validate_job/validate_job_view.js
index 3acf3f693e15d..cc76a708fc77b 100644
--- a/x-pack/plugins/ml/public/application/components/validate_job/validate_job_view.js
+++ b/x-pack/plugins/ml/public/application/components/validate_job/validate_job_view.js
@@ -85,7 +85,7 @@ const Modal = ({ close, title, children }) => (
   <EuiModal onClose={close} style={{ width: '800px' }}>
     <EuiModalHeader>
       <EuiModalHeaderTitle>
-        <h2>{title}</h2>
+        <h1>{title}</h1>
       </EuiModalHeaderTitle>
     </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/explorer/dashboard_controls/add_to_dashboard_controls.tsx b/x-pack/plugins/ml/public/application/explorer/dashboard_controls/add_to_dashboard_controls.tsx
index 2ce7693fc3d9f..a5b24a2290d67 100644
--- a/x-pack/plugins/ml/public/application/explorer/dashboard_controls/add_to_dashboard_controls.tsx
+++ b/x-pack/plugins/ml/public/application/explorer/dashboard_controls/add_to_dashboard_controls.tsx
@@ -82,7 +82,7 @@ export const AddToDashboardControl: FC<AddToDashboardControlProps> = ({
     <EuiModal onClose={onClose.bind(null, undefined)} data-test-subj="mlAddToDashboardModal">
       <EuiModalHeader>
         <EuiModalHeaderTitle>
-          <h2>{title}</h2>
+          <h1>{title}</h1>
         </EuiModalHeaderTitle>
       </EuiModalHeader>
       <EuiModalBody>
diff --git a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/close_jobs_confirm_modal.tsx b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/close_jobs_confirm_modal.tsx
index a8ce7b2f36d37..e1ec74412990b 100644
--- a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/close_jobs_confirm_modal.tsx
+++ b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/close_jobs_confirm_modal.tsx
@@ -88,7 +88,7 @@ export const CloseJobsConfirmModal: FC<Props> = ({
       <EuiModal data-test-subj="mlCloseJobsConfirmModal" onClose={closeModal}>
         <EuiModalHeader>
           <EuiModalHeaderTitle>
-            <h2>{title}</h2>
+            <h1>{title}</h1>
           </EuiModalHeaderTitle>
         </EuiModalHeader>
         <EuiModalBody>
diff --git a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/stop_datafeeds_confirm_modal.tsx b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/stop_datafeeds_confirm_modal.tsx
index 996f463c8e537..e7bd57229d3ff 100644
--- a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/stop_datafeeds_confirm_modal.tsx
+++ b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/confirm_modals/stop_datafeeds_confirm_modal.tsx
@@ -89,7 +89,7 @@ export const StopDatafeedsConfirmModal: FC<Props> = ({
       <EuiModal data-test-subj="mlStopDatafeedsConfirmModal" onClose={closeModal}>
         <EuiModalHeader>
           <EuiModalHeaderTitle>
-            <h2>{title}</h2>
+            <h1>{title}</h1>
           </EuiModalHeaderTitle>
         </EuiModalHeader>
         <EuiModalBody>
diff --git a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/delete_job_modal/delete_job_modal.tsx b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/delete_job_modal/delete_job_modal.tsx
index 5c18a3170553e..3bb86efd4263a 100644
--- a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/delete_job_modal/delete_job_modal.tsx
+++ b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/delete_job_modal/delete_job_modal.tsx
@@ -87,7 +87,7 @@ export const DeleteJobModal: FC<Props> = ({ setShowFunction, unsetShowFunction,
       <EuiModal data-test-subj="mlDeleteJobConfirmModal" onClose={closeModal}>
         <EuiModalHeader>
           <EuiModalHeaderTitle>
-            <h2>
+            <h1>
               <FormattedMessage
                 id="xpack.ml.jobsList.deleteJobModal.deleteJobsTitle"
                 defaultMessage="Delete {jobsCount, plural, one {{jobId}} other {# jobs}}?"
@@ -96,7 +96,7 @@ export const DeleteJobModal: FC<Props> = ({ setShowFunction, unsetShowFunction,
                   jobId: jobIds[0],
                 }}
               />
-            </h2>
+            </h1>
           </EuiModalHeaderTitle>
         </EuiModalHeader>
         <EuiModalBody>
diff --git a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/edit_job_flyout/tabs/custom_urls.tsx b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/edit_job_flyout/tabs/custom_urls.tsx
index 2a2c0a4d00ae7..d77ed5c3bb2db 100644
--- a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/edit_job_flyout/tabs/custom_urls.tsx
+++ b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/edit_job_flyout/tabs/custom_urls.tsx
@@ -288,12 +288,12 @@ class CustomUrlsUI extends Component<CustomUrlsProps, CustomUrlsState> {
       >
         <EuiModalHeader>
           <EuiModalHeaderTitle>
-            <h2>
+            <h1>
               <FormattedMessage
                 id="xpack.ml.jobsList.editJobFlyout.customUrls.addCustomUrlButtonLabel"
                 defaultMessage="Add custom URL"
               />
-            </h2>
+            </h1>
           </EuiModalHeaderTitle>
         </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/reset_job_modal/reset_job_modal.tsx b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/reset_job_modal/reset_job_modal.tsx
index 4aa997d4d1672..4bdf404cb6a60 100644
--- a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/reset_job_modal/reset_job_modal.tsx
+++ b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/reset_job_modal/reset_job_modal.tsx
@@ -85,7 +85,7 @@ export const ResetJobModal: FC<Props> = ({ setShowFunction, unsetShowFunction, r
     <EuiModal data-test-subj="mlResetJobConfirmModal" onClose={closeModal}>
       <EuiModalHeader>
         <EuiModalHeaderTitle>
-          <h2>
+          <h1>
             <FormattedMessage
               id="xpack.ml.jobsList.resetJobModal.resetJobsTitle"
               defaultMessage="Reset {jobsCount, plural, one {{jobId}} other {# jobs}}?"
@@ -94,7 +94,7 @@ export const ResetJobModal: FC<Props> = ({ setShowFunction, unsetShowFunction, r
                 jobId: jobIds[0],
               }}
             />
-          </h2>
+          </h1>
         </EuiModalHeaderTitle>
       </EuiModalHeader>
       <EuiModalBody>
diff --git a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/start_datafeed_modal/start_datafeed_modal.js b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/start_datafeed_modal/start_datafeed_modal.js
index f7abb912261ae..3a2728a810427 100644
--- a/x-pack/plugins/ml/public/application/jobs/jobs_list/components/start_datafeed_modal/start_datafeed_modal.js
+++ b/x-pack/plugins/ml/public/application/jobs/jobs_list/components/start_datafeed_modal/start_datafeed_modal.js
@@ -149,7 +149,7 @@ export class StartDatafeedModal extends Component {
         >
           <EuiModalHeader>
             <EuiModalHeaderTitle>
-              <h2>
+              <h1>
                 <FormattedMessage
                   id="xpack.ml.jobsList.startDatafeedModal.startJobsTitle"
                   defaultMessage="Start {jobsCount, plural, one {{jobId}} other {# jobs}}"
@@ -158,7 +158,7 @@ export class StartDatafeedModal extends Component {
                     jobId: startableJobs[0].id,
                   }}
                 />
-              </h2>
+              </h1>
             </EuiModalHeaderTitle>
           </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/datafeed_step/components/data_view/change_data_view.tsx b/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/datafeed_step/components/data_view/change_data_view.tsx
index e806186ac631c..9617458c6e811 100644
--- a/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/datafeed_step/components/data_view/change_data_view.tsx
+++ b/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/datafeed_step/components/data_view/change_data_view.tsx
@@ -129,12 +129,12 @@ export const ChangeDataViewModal: FC<Props> = ({ onClose }) => {
       <EuiModal onClose={onClose} data-test-subj="mlJobMgmtImportJobsFlyout">
         <EuiModalHeader>
           <EuiModalHeaderTitle>
-            <h2>
+            <h1>
               <FormattedMessage
                 id="xpack.ml.newJob.wizard.datafeedStep.dataView.step0.title"
                 defaultMessage="Change data view"
               />
-            </h2>
+            </h1>
           </EuiModalHeaderTitle>
         </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/pick_fields_step/components/advanced_detector_modal/modal_wrapper.tsx b/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/pick_fields_step/components/advanced_detector_modal/modal_wrapper.tsx
index 13c36d4e2336e..3ab60cd8225cc 100644
--- a/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/pick_fields_step/components/advanced_detector_modal/modal_wrapper.tsx
+++ b/x-pack/plugins/ml/public/application/jobs/new_job/pages/components/pick_fields_step/components/advanced_detector_modal/modal_wrapper.tsx
@@ -34,12 +34,12 @@ export const ModalWrapper: FC<Props> = ({ onCreateClick, closeModal, saveEnabled
     >
       <EuiModalHeader>
         <EuiModalHeaderTitle>
-          <h2>
+          <h1>
             <FormattedMessage
               id="xpack.ml.newJob.wizard.pickFieldsStep.advancedDetectorModal.title"
               defaultMessage="Create detector"
             />
-          </h2>
+          </h1>
         </EuiModalHeaderTitle>
       </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/__snapshots__/import_modal.test.js.snap b/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/__snapshots__/import_modal.test.js.snap
index 0da3982960182..61449ab5168d9 100644
--- a/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/__snapshots__/import_modal.test.js.snap
+++ b/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/__snapshots__/import_modal.test.js.snap
@@ -15,13 +15,13 @@ exports[`ImportModal Renders import modal 1`] = `
           grow={false}
         >
           <EuiModalHeaderTitle>
-            <h2>
+            <h1>
               <FormattedMessage
                 defaultMessage="Import events"
                 id="xpack.ml.calendarsEdit.eventsTable.importEventsTitle"
                 values={Object {}}
               />
-            </h2>
+            </h1>
           </EuiModalHeaderTitle>
         </EuiFlexItem>
         <EuiFlexItem
diff --git a/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/import_modal.js b/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/import_modal.js
index 77fe511ecb2fe..86b54d359ef90 100644
--- a/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/import_modal.js
+++ b/x-pack/plugins/ml/public/application/settings/calendars/edit/import_modal/import_modal.js
@@ -147,12 +147,12 @@ export class ImportModal extends Component {
             <EuiFlexGroup direction="column" gutterSize="none">
               <EuiFlexItem grow={false}>
                 <EuiModalHeaderTitle>
-                  <h2>
+                  <h1>
                     <FormattedMessage
                       id="xpack.ml.calendarsEdit.eventsTable.importEventsTitle"
                       defaultMessage="Import events"
                     />
-                  </h2>
+                  </h1>
                 </EuiModalHeaderTitle>
               </EuiFlexItem>
               <EuiFlexItem grow={false}>
diff --git a/x-pack/plugins/ml/public/application/settings/calendars/edit/new_event_modal/new_event_modal.js b/x-pack/plugins/ml/public/application/settings/calendars/edit/new_event_modal/new_event_modal.js
index 99cc55a15508b..255405c8cd265 100644
--- a/x-pack/plugins/ml/public/application/settings/calendars/edit/new_event_modal/new_event_modal.js
+++ b/x-pack/plugins/ml/public/application/settings/calendars/edit/new_event_modal/new_event_modal.js
@@ -266,12 +266,12 @@ export class NewEventModal extends Component {
         >
           <EuiModalHeader>
             <EuiModalHeaderTitle>
-              <h2>
+              <h1>
                 <FormattedMessage
                   id="xpack.ml.calendarsEdit.newEventModal.createNewEventTitle"
                   defaultMessage="Create new event"
                 />
-              </h2>
+              </h1>
             </EuiModalHeaderTitle>
           </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/timeseriesexplorer/components/forecasting_modal/modal.js b/x-pack/plugins/ml/public/application/timeseriesexplorer/components/forecasting_modal/modal.js
index 5625b27e0f798..1ae5ee2b05604 100644
--- a/x-pack/plugins/ml/public/application/timeseriesexplorer/components/forecasting_modal/modal.js
+++ b/x-pack/plugins/ml/public/application/timeseriesexplorer/components/forecasting_modal/modal.js
@@ -33,12 +33,12 @@ export function Modal(props) {
     <EuiModal onClose={props.close} maxWidth={860} data-test-subj="mlModalForecast">
       <EuiModalHeader>
         <EuiModalHeaderTitle>
-          <h2>
+          <h1>
             <FormattedMessage
               id="xpack.ml.timeSeriesExplorer.forecastingModal.forecastingTitle"
               defaultMessage="Forecasting"
             />
-          </h2>
+          </h1>
         </EuiModalHeaderTitle>
       </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/trained_models/models_management/delete_models_modal.tsx b/x-pack/plugins/ml/public/application/trained_models/models_management/delete_models_modal.tsx
index 5ab4ddae46753..f6799469fd1e6 100644
--- a/x-pack/plugins/ml/public/application/trained_models/models_management/delete_models_modal.tsx
+++ b/x-pack/plugins/ml/public/application/trained_models/models_management/delete_models_modal.tsx
@@ -69,7 +69,7 @@ export const DeleteModelsModal: FC<DeleteModelsModalProps> = ({ modelIds, onClos
     >
       <EuiModalHeader>
         <EuiModalHeaderTitle>
-          <h2>
+          <h1>
             <FormattedMessage
               id="xpack.ml.trainedModels.modelsList.deleteModal.header"
               defaultMessage="Delete {modelsCount, plural, one {{modelId}} other {# models}}?"
@@ -78,7 +78,7 @@ export const DeleteModelsModal: FC<DeleteModelsModalProps> = ({ modelIds, onClos
                 modelsCount: modelIds.length,
               }}
             />
-          </h2>
+          </h1>
         </EuiModalHeaderTitle>
       </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/application/trained_models/models_management/deployment_setup.tsx b/x-pack/plugins/ml/public/application/trained_models/models_management/deployment_setup.tsx
index f8082997a1c6e..c999376eebeaf 100644
--- a/x-pack/plugins/ml/public/application/trained_models/models_management/deployment_setup.tsx
+++ b/x-pack/plugins/ml/public/application/trained_models/models_management/deployment_setup.tsx
@@ -289,7 +289,7 @@ export const StartUpdateDeploymentModal: FC<StartDeploymentModalProps> = ({
           <EuiFlexGroup justifyContent={'spaceBetween'}>
             <EuiFlexItem grow={false}>
               <EuiTitle size={'s'}>
-                <h2>
+                <h1>
                   {isUpdate ? (
                     <FormattedMessage
                       id="xpack.ml.trainedModels.modelsList.updateDeployment.modalTitle"
@@ -303,7 +303,7 @@ export const StartUpdateDeploymentModal: FC<StartDeploymentModalProps> = ({
                       values={{ modelId }}
                     />
                   )}
-                </h2>
+                </h1>
               </EuiTitle>
             </EuiFlexItem>
 
diff --git a/x-pack/plugins/ml/public/embeddables/anomaly_charts/anomaly_charts_initializer.tsx b/x-pack/plugins/ml/public/embeddables/anomaly_charts/anomaly_charts_initializer.tsx
index 6e724cf672bb0..9c2c373a3c1e2 100644
--- a/x-pack/plugins/ml/public/embeddables/anomaly_charts/anomaly_charts_initializer.tsx
+++ b/x-pack/plugins/ml/public/embeddables/anomaly_charts/anomaly_charts_initializer.tsx
@@ -53,12 +53,12 @@ export const AnomalyChartsInitializer: FC<AnomalyChartsInitializerProps> = ({
     >
       <EuiModalHeader>
         <EuiModalHeaderTitle>
-          <h2>
+          <h1>
             <FormattedMessage
               id="xpack.ml.anomalyChartsEmbeddable.setupModal.title"
               defaultMessage="Anomaly explorer charts configuration"
             />
-          </h2>
+          </h1>
         </EuiModalHeaderTitle>
       </EuiModalHeader>
 
diff --git a/x-pack/plugins/ml/public/embeddables/anomaly_swimlane/anomaly_swimlane_initializer.tsx b/x-pack/plugins/ml/public/embeddables/anomaly_swimlane/anomaly_swimlane_initializer.tsx
index 136b370fb7120..c4c2fc7262eac 100644
--- a/x-pack/plugins/ml/public/embeddables/anomaly_swimlane/anomaly_swimlane_initializer.tsx
+++ b/x-pack/plugins/ml/public/embeddables/anomaly_swimlane/anomaly_swimlane_initializer.tsx
@@ -93,12 +93,12 @@ export const AnomalySwimlaneInitializer: FC<AnomalySwimlaneInitializerProps> = (
     <EuiModal initialFocus="[name=panelTitle]" onClose={onCancel}>
       <EuiModalHeader>
         <EuiModalHeaderTitle>
-          <h2>
+          <h1>
             <FormattedMessage
               id="xpack.ml.swimlaneEmbeddable.setupModal.title"
               defaultMessage="Anomaly swim lane configuration"
             />
-          </h2>
+          </h1>
         </EuiModalHeaderTitle>
       </EuiModalHeader>