diff --git a/x-pack/plugins/ml/public/application/components/anomalies_table/anomalies_table.js b/x-pack/plugins/ml/public/application/components/anomalies_table/anomalies_table.js
index 0a2c67a3b0dcb..ebc782fe4625b 100644
--- a/x-pack/plugins/ml/public/application/components/anomalies_table/anomalies_table.js
+++ b/x-pack/plugins/ml/public/application/components/anomalies_table/anomalies_table.js
@@ -25,8 +25,9 @@ import { mlTableService } from '../../services/table_service';
 import { RuleEditorFlyout } from '../rule_editor';
 import { ml } from '../../services/ml_api_service';
 import { INFLUENCERS_LIMIT, ANOMALIES_TABLE_TABS, MAX_CHARS } from './anomalies_table_constants';
+import { usePageUrlState } from '../../util/url_state';
 
-class AnomaliesTable extends Component {
+export class AnomaliesTableInternal extends Component {
   constructor(props) {
     super(props);
 
@@ -145,8 +146,20 @@ class AnomaliesTable extends Component {
     });
   };
 
+  onTableChange = ({ page, sort }) => {
+    const { tableState, updateTableState } = this.props;
+    const result = {
+      pageIndex: page && page.index !== undefined ? page.index : tableState.pageIndex,
+      pageSize: page && page.size !== undefined ? page.size : tableState.pageSize,
+      sortField: sort && sort.field !== undefined ? sort.field : tableState.sortField,
+      sortDirection:
+        sort && sort.direction !== undefined ? sort.direction : tableState.sortDirection,
+    };
+    updateTableState(result);
+  };
+
   render() {
-    const { bounds, tableData, filter, influencerFilter } = this.props;
+    const { bounds, tableData, filter, influencerFilter, tableState } = this.props;
 
     if (
       tableData === undefined ||
@@ -186,8 +199,8 @@ class AnomaliesTable extends Component {
 
     const sorting = {
       sort: {
-        field: 'severity',
-        direction: 'desc',
+        field: tableState.sortField,
+        direction: tableState.sortDirection,
       },
     };
 
@@ -199,8 +212,15 @@ class AnomaliesTable extends Component {
       };
     };
 
+    const pagination = {
+      pageIndex: tableState.pageIndex,
+      pageSize: tableState.pageSize,
+      totalItemCount: tableData.anomalies.length,
+      pageSizeOptions: [10, 25, 100],
+    };
+
     return (
-      <React.Fragment>
+      <>
         <RuleEditorFlyout
           setShowFunction={this.setShowRuleEditorFlyoutFunction}
           unsetShowFunction={this.unsetShowRuleEditorFlyoutFunction}
@@ -209,26 +229,46 @@ class AnomaliesTable extends Component {
           className="ml-anomalies-table eui-textOverflowWrap"
           items={tableData.anomalies}
           columns={columns}
-          pagination={{
-            pageSizeOptions: [10, 25, 100],
-            initialPageSize: 25,
-          }}
+          pagination={pagination}
           sorting={sorting}
           itemId="rowId"
           itemIdToExpandedRowMap={this.state.itemIdToExpandedRowMap}
           compressed={true}
           rowProps={getRowProps}
           data-test-subj="mlAnomaliesTable"
+          onTableChange={this.onTableChange}
         />
-      </React.Fragment>
+      </>
     );
   }
 }
-AnomaliesTable.propTypes = {
+
+export const getDefaultAnomaliesTableState = () => ({
+  pageIndex: 0,
+  pageSize: 25,
+  sortField: 'severity',
+  sortDirection: 'desc',
+});
+
+export const AnomaliesTable = (props) => {
+  const [tableState, updateTableState] = usePageUrlState(
+    'mlAnomaliesTable',
+    getDefaultAnomaliesTableState()
+  );
+  return (
+    <AnomaliesTableInternal
+      {...props}
+      tableState={tableState}
+      updateTableState={updateTableState}
+    />
+  );
+};
+
+AnomaliesTableInternal.propTypes = {
   bounds: PropTypes.object.isRequired,
   tableData: PropTypes.object,
   filter: PropTypes.func,
   influencerFilter: PropTypes.func,
+  tableState: PropTypes.object.isRequired,
+  updateTableState: PropTypes.func.isRequired,
 };
-
-export { AnomaliesTable };
diff --git a/x-pack/plugins/ml/public/application/explorer/hooks/use_selected_cells.ts b/x-pack/plugins/ml/public/application/explorer/hooks/use_selected_cells.ts
index 7602954b4c8c3..f940fdc2387e2 100644
--- a/x-pack/plugins/ml/public/application/explorer/hooks/use_selected_cells.ts
+++ b/x-pack/plugins/ml/public/application/explorer/hooks/use_selected_cells.ts
@@ -4,14 +4,17 @@
  * you may not use this file except in compliance with the Elastic License.
  */
 
-import { useCallback, useMemo } from 'react';
+import { useCallback, useEffect, useMemo } from 'react';
+import { Duration } from 'moment';
 import { SWIMLANE_TYPE } from '../explorer_constants';
-import { AppStateSelectedCells } from '../explorer_utils';
+import { AppStateSelectedCells, TimeRangeBounds } from '../explorer_utils';
 import { ExplorerAppState } from '../../../../common/types/ml_url_generator';
 
 export const useSelectedCells = (
   appState: ExplorerAppState,
-  setAppState: (update: Partial<ExplorerAppState>) => void
+  setAppState: (update: Partial<ExplorerAppState>) => void,
+  timeBounds: TimeRangeBounds | undefined,
+  bucketInterval: Duration | undefined
 ): [AppStateSelectedCells | undefined, (swimlaneSelectedCells: AppStateSelectedCells) => void] => {
   // keep swimlane selection, restore selectedCells from AppState
   const selectedCells = useMemo(() => {
@@ -28,7 +31,7 @@ export const useSelectedCells = (
   }, [JSON.stringify(appState?.mlExplorerSwimlane)]);
 
   const setSelectedCells = useCallback(
-    (swimlaneSelectedCells: AppStateSelectedCells) => {
+    (swimlaneSelectedCells?: AppStateSelectedCells) => {
       const mlExplorerSwimlane = {
         ...appState.mlExplorerSwimlane,
       } as ExplorerAppState['mlExplorerSwimlane'];
@@ -65,5 +68,47 @@ export const useSelectedCells = (
     [appState?.mlExplorerSwimlane, selectedCells, setAppState]
   );
 
+  /**
+   * Adjust cell selection with respect to the time boundaries.
+   * Reset it entirely when it out of range.
+   */
+  useEffect(() => {
+    if (
+      timeBounds === undefined ||
+      selectedCells?.times === undefined ||
+      bucketInterval === undefined
+    )
+      return;
+
+    let [selectedFrom, selectedTo] = selectedCells.times;
+
+    const rangeFrom = timeBounds.min!.unix();
+    /**
+     * Because each cell on the swim lane represent the fixed bucket interval,
+     * the selection range could be outside of the time boundaries with
+     * correction within the bucket interval.
+     */
+    const rangeTo = timeBounds.max!.unix() + bucketInterval.asSeconds();
+
+    selectedFrom = Math.max(selectedFrom, rangeFrom);
+
+    selectedTo = Math.min(selectedTo, rangeTo);
+
+    const isSelectionOutOfRange = rangeFrom > selectedTo || rangeTo < selectedFrom;
+
+    if (isSelectionOutOfRange) {
+      // reset selection
+      setSelectedCells();
+      return;
+    }
+
+    if (selectedFrom !== rangeFrom || selectedTo !== rangeTo) {
+      setSelectedCells({
+        ...selectedCells,
+        times: [selectedFrom, selectedTo],
+      });
+    }
+  }, [timeBounds, selectedCells, bucketInterval]);
+
   return [selectedCells, setSelectedCells];
 };
diff --git a/x-pack/plugins/ml/public/application/explorer/reducers/explorer_reducer/state.ts b/x-pack/plugins/ml/public/application/explorer/reducers/explorer_reducer/state.ts
index ea9a8b5c18054..14b0a6033999c 100644
--- a/x-pack/plugins/ml/public/application/explorer/reducers/explorer_reducer/state.ts
+++ b/x-pack/plugins/ml/public/application/explorer/reducers/explorer_reducer/state.ts
@@ -4,6 +4,7 @@
  * you may not use this file except in compliance with the Elastic License.
  */
 
+import { Duration } from 'moment';
 import { ML_RESULTS_INDEX_PATTERN } from '../../../../../common/constants/index_patterns';
 import { Dictionary } from '../../../../../common/types/common';
 
@@ -43,7 +44,7 @@ export interface ExplorerState {
   queryString: string;
   selectedCells: AppStateSelectedCells | undefined;
   selectedJobs: ExplorerJob[] | null;
-  swimlaneBucketInterval: any;
+  swimlaneBucketInterval: Duration | undefined;
   swimlaneContainerWidth: number;
   tableData: AnomaliesTableData;
   tableQueryString: string;
diff --git a/x-pack/plugins/ml/public/application/routing/routes/explorer.tsx b/x-pack/plugins/ml/public/application/routing/routes/explorer.tsx
index f8b4de6903ad2..2126cbceae6b1 100644
--- a/x-pack/plugins/ml/public/application/routing/routes/explorer.tsx
+++ b/x-pack/plugins/ml/public/application/routing/routes/explorer.tsx
@@ -205,7 +205,12 @@ const ExplorerUrlStateManager: FC<ExplorerUrlStateManagerProps> = ({ jobsWithTim
   const [tableInterval] = useTableInterval();
   const [tableSeverity] = useTableSeverity();
 
-  const [selectedCells, setSelectedCells] = useSelectedCells(explorerUrlState, setExplorerUrlState);
+  const [selectedCells, setSelectedCells] = useSelectedCells(
+    explorerUrlState,
+    setExplorerUrlState,
+    explorerState?.bounds,
+    explorerState?.swimlaneBucketInterval
+  );
 
   useEffect(() => {
     explorerService.setSelectedCells(selectedCells);
diff --git a/x-pack/plugins/ml/public/application/util/url_state.tsx b/x-pack/plugins/ml/public/application/util/url_state.tsx
index fdc6dd135cd69..6cdc069096dcc 100644
--- a/x-pack/plugins/ml/public/application/util/url_state.tsx
+++ b/x-pack/plugins/ml/public/application/util/url_state.tsx
@@ -162,7 +162,7 @@ export const useUrlState = (accessor: Accessor) => {
   return [urlState, setUrlState];
 };
 
-type AppStateKey = 'mlSelectSeverity' | 'mlSelectInterval' | MlPages;
+type AppStateKey = 'mlSelectSeverity' | 'mlSelectInterval' | 'mlAnomaliesTable' | MlPages;
 
 /**
  * Hook for managing the URL state of the page.