diff --git a/.changeset/violet-geese-speak.md b/.changeset/violet-geese-speak.md
new file mode 100644
index 00000000000..34885d36340
--- /dev/null
+++ b/.changeset/violet-geese-speak.md
@@ -0,0 +1,5 @@
+---
+"@primer/components": patch
+---
+
+stopPropagation for mousedown and click in AnchoredOverlay based components
diff --git a/src/AnchoredOverlay/AnchoredOverlay.tsx b/src/AnchoredOverlay/AnchoredOverlay.tsx
index 926444c7bb5..4596cfdba54 100644
--- a/src/AnchoredOverlay/AnchoredOverlay.tsx
+++ b/src/AnchoredOverlay/AnchoredOverlay.tsx
@@ -5,6 +5,10 @@ import {useFocusZone} from '../hooks/useFocusZone'
 import {useAnchoredPosition, useRenderForcingRef} from '../hooks'
 import {uniqueId} from '../utils/uniqueId'
 
+function stopPropagation(event: React.UIEvent) {
+  event.stopPropagation()
+}
+
 export interface AnchoredOverlayProps {
   /**
    * A custom function component used to render the anchor element.
@@ -117,6 +121,8 @@ export const AnchoredOverlay: React.FC<AnchoredOverlayProps> = ({renderAnchor, c
           ref={updateOverlayRef}
           role="listbox"
           visibility={position ? 'visible' : 'hidden'}
+          onMouseDown={stopPropagation}
+          onClick={stopPropagation}
           {...overlayPosition}
         >
           {children}