diff --git a/.changeset/delay-or-distance.md b/.changeset/delay-or-distance.md
new file mode 100644
index 00000000..a6ecb110
--- /dev/null
+++ b/.changeset/delay-or-distance.md
@@ -0,0 +1,5 @@
+---
+'@dnd-kit/core': minor
+---
+
+Allow `delay` and `distance` activation constraints to be used concurrently for `MouseSensor`, `TouchSensor` and `PointerSensor`.
diff --git a/packages/core/src/sensors/pointer/AbstractPointerSensor.ts b/packages/core/src/sensors/pointer/AbstractPointerSensor.ts
index f566f96e..3f87cd55 100644
--- a/packages/core/src/sensors/pointer/AbstractPointerSensor.ts
+++ b/packages/core/src/sensors/pointer/AbstractPointerSensor.ts
@@ -36,11 +36,14 @@ export interface PointerEventHandlers {
   end: EventDescriptor;
 }
 
-export type PointerActivationConstraint = DistanceConstraint | DelayConstraint;
+export type PointerActivationConstraint =
+  | DelayConstraint
+  | DistanceConstraint
+  | (DelayConstraint & DistanceConstraint);
 
 function isDistanceConstraint(
   constraint: PointerActivationConstraint
-): constraint is DistanceConstraint {
+): constraint is PointerActivationConstraint & DistanceConstraint {
   return Boolean(constraint && 'distance' in constraint);
 }
 
@@ -55,7 +58,8 @@ export interface AbstractPointerSensorOptions extends SensorOptions {
   onActivation?({event}: {event: Event}): void;
 }
 
-export type AbstractPointerSensorProps = SensorProps<AbstractPointerSensorOptions>;
+export type AbstractPointerSensorProps =
+  SensorProps<AbstractPointerSensorOptions>;
 
 export class AbstractPointerSensor implements SensorInstance {
   public autoScrollEnabled = true;
@@ -109,10 +113,6 @@ export class AbstractPointerSensor implements SensorInstance {
     this.documentListeners.add(EventName.Keydown, this.handleKeydown);
 
     if (activationConstraint) {
-      if (isDistanceConstraint(activationConstraint)) {
-        return;
-      }
-
       if (isDelayConstraint(activationConstraint)) {
         this.timeoutId = setTimeout(
           this.handleStart,
@@ -120,6 +120,10 @@ export class AbstractPointerSensor implements SensorInstance {
         );
         return;
       }
+
+      if (isDistanceConstraint(activationConstraint)) {
+        return;
+      }
     }
 
     this.handleStart();
@@ -178,16 +182,8 @@ export class AbstractPointerSensor implements SensorInstance {
     const coordinates = getEventCoordinates(event) ?? defaultCoordinates;
     const delta = getCoordinatesDelta(initialCoordinates, coordinates);
 
+    // Constraint validation
     if (!activated && activationConstraint) {
-      // Constraint validation
-      if (isDelayConstraint(activationConstraint)) {
-        if (hasExceededDistance(delta, activationConstraint.tolerance)) {
-          return this.handleCancel();
-        }
-
-        return;
-      }
-
       if (isDistanceConstraint(activationConstraint)) {
         if (
           activationConstraint.tolerance != null &&
@@ -195,12 +191,19 @@ export class AbstractPointerSensor implements SensorInstance {
         ) {
           return this.handleCancel();
         }
+
         if (hasExceededDistance(delta, activationConstraint.distance)) {
           return this.handleStart();
         }
+      }
 
-        return;
+      if (isDelayConstraint(activationConstraint)) {
+        if (hasExceededDistance(delta, activationConstraint.tolerance)) {
+          return this.handleCancel();
+        }
       }
+
+      return;
     }
 
     if (event.cancelable) {
diff --git a/stories/1 - Core/Draggable/1-Draggable.story.tsx b/stories/1 - Core/Draggable/1-Draggable.story.tsx
index c62dc8ca..fc002194 100644
--- a/stories/1 - Core/Draggable/1-Draggable.story.tsx	
+++ b/stories/1 - Core/Draggable/1-Draggable.story.tsx	
@@ -112,15 +112,10 @@ function DraggableItem({
   handle,
   buttonStyle,
 }: DraggableItemProps) {
-  const {
-    attributes,
-    isDragging,
-    listeners,
-    setNodeRef,
-    transform,
-  } = useDraggable({
-    id: 'draggable',
-  });
+  const {attributes, isDragging, listeners, setNodeRef, transform} =
+    useDraggable({
+      id: 'draggable',
+    });
 
   return (
     <Draggable
@@ -154,6 +149,21 @@ export const PressDelay = () => (
   />
 );
 
+PressDelay.storyName = 'Press delay';
+
+export const PressDelayOrDistance = () => (
+  <DraggableStory
+    label="Activated dragging 3px or holding 250ms"
+    activationConstraint={{
+      delay: 250,
+      distance: 3,
+      tolerance: 10,
+    }}
+  />
+);
+
+PressDelayOrDistance.storyName = 'Press delay or minimum distance';
+
 export const MinimumDistance = () => (
   <DraggableStory
     label="I'm activated after dragging 15px"