diff --git a/src/ol/PluggableMap.js b/src/ol/PluggableMap.js
index 8350efbb6d..a48d7922c8 100644
--- a/src/ol/PluggableMap.js
+++ b/src/ol/PluggableMap.js
@@ -1029,7 +1029,7 @@ class PluggableMap extends BaseObject {
           continue;
         }
         const cont = interaction.handleEvent(mapBrowserEvent);
-        if (!cont) {
+        if (!cont || mapBrowserEvent.propagationStopped) {
           break;
         }
       }
diff --git a/test/spec/ol/interaction/select.test.js b/test/spec/ol/interaction/select.test.js
index 4beafdc8a8..5e8377f7c4 100644
--- a/test/spec/ol/interaction/select.test.js
+++ b/test/spec/ol/interaction/select.test.js
@@ -105,6 +105,9 @@ describe('ol.interaction.Select', function () {
       clientX: position.left + x + width / 2,
       clientY: position.top + y + height / 2,
       shiftKey: shiftKey,
+      stopPropagation: () => {
+        event.propagationStopped = true;
+      },
     };
     map.handleMapBrowserEvent(new MapBrowserEvent(type, map, event));
   }
@@ -459,4 +462,55 @@ describe('ol.interaction.Select', function () {
       });
     });
   });
+
+  describe('supports stop propagation', function () {
+    let firstInteraction, secondInteraction;
+
+    beforeEach(function () {
+      firstInteraction = new Select();
+      secondInteraction = new Select();
+
+      map.addInteraction(firstInteraction);
+      // note second interaction added to map last
+      map.addInteraction(secondInteraction);
+    });
+
+    afterEach(function () {
+      map.removeInteraction(firstInteraction);
+      map.removeInteraction(secondInteraction);
+    });
+
+    //base case sanity check
+    describe('without stop propagation', function () {
+      it('both interactions dispatch select', function () {
+        const firstSelectSpy = sinon.spy();
+        firstInteraction.on('select', firstSelectSpy);
+
+        const secondSelectSpy = sinon.spy();
+        secondInteraction.on('select', secondSelectSpy);
+
+        simulateEvent('singleclick', 10, -20);
+
+        expect(firstSelectSpy.callCount).to.be(1);
+        expect(secondSelectSpy.callCount).to.be(1);
+      });
+    });
+
+    describe('calling stop propagation', function () {
+      it('only "last" added interaction dispatches select', function () {
+        const firstSelectSpy = sinon.spy();
+        firstInteraction.on('select', firstSelectSpy);
+
+        const secondSelectSpy = sinon.spy(function (e) {
+          e.mapBrowserEvent.stopPropagation();
+        });
+        secondInteraction.on('select', secondSelectSpy);
+
+        simulateEvent('singleclick', 10, -20);
+
+        expect(firstSelectSpy.callCount).to.be(0);
+        expect(secondSelectSpy.callCount).to.be(1);
+      });
+    });
+  });
 });
diff --git a/test/spec/ol/map.test.js b/test/spec/ol/map.test.js
index 800e49b70f..0f71bd84f1 100644
--- a/test/spec/ol/map.test.js
+++ b/test/spec/ol/map.test.js
@@ -12,6 +12,7 @@ import MapEvent from '../../../src/ol/MapEvent.js';
 import MouseWheelZoom from '../../../src/ol/interaction/MouseWheelZoom.js';
 import Overlay from '../../../src/ol/Overlay.js';
 import PinchZoom from '../../../src/ol/interaction/PinchZoom.js';
+import Select from '../../../src/ol/interaction/Select.js';
 import TileLayer from '../../../src/ol/layer/Tile.js';
 import TileLayerRenderer from '../../../src/ol/renderer/canvas/TileLayer.js';
 import VectorLayer from '../../../src/ol/layer/Vector.js';
@@ -1093,5 +1094,23 @@ describe('ol.Map', function () {
       expect(spy.callCount).to.be(0);
       spy.restore();
     });
+
+    it('does not call handleEvent on interaction when MapBrowserEvent propagation stopped', function () {
+      const select = new Select();
+      const selectStub = sinon.stub(select, 'handleEvent');
+      selectStub.callsFake(function (e) {
+        e.stopPropagation();
+        return true;
+      });
+      map.addInteraction(select);
+      const spy = sinon.spy(dragpan, 'handleEvent');
+      map.handleMapBrowserEvent(
+        new MapBrowserEvent('pointermove', map, new PointerEvent('pointermove'))
+      );
+      expect(spy.callCount).to.be(0);
+      expect(selectStub.callCount).to.be(1);
+      spy.restore();
+      selectStub.restore();
+    });
   });
 });