diff --git a/packages/react-native-web/src/hooks/usePressEvents/PressResponder.js b/packages/react-native-web/src/hooks/usePressEvents/PressResponder.js
index 327cdc20..915adbe1 100644
--- a/packages/react-native-web/src/hooks/usePressEvents/PressResponder.js
+++ b/packages/react-native-web/src/hooks/usePressEvents/PressResponder.js
@@ -388,8 +388,8 @@ export default class PressResponder {
           } else if (onPress != null && event.ctrlKey === false && event.altKey === false) {
             onPress(event);
           }
-          event.stopPropagation();
         }
+        event.stopPropagation();
       },
 
       // If `onLongPress` is provided and a touch pointer is being used, prevent the
@@ -399,6 +399,7 @@ export default class PressResponder {
         if (!disabled && onLongPress != null && this._isPointerTouch && !event.defaultPrevented) {
           event.preventDefault();
         }
+        event.stopPropagation();
       }
     };
   }
diff --git a/packages/react-native-web/src/modules/createDOMProps/index.js b/packages/react-native-web/src/modules/createDOMProps/index.js
index 1c5e65f5..fbd1ecdf 100644
--- a/packages/react-native-web/src/modules/createDOMProps/index.js
+++ b/packages/react-native-web/src/modules/createDOMProps/index.js
@@ -229,7 +229,10 @@ const createDOMProps = (component, props) => {
     const onClick = domProps.onClick;
     if (onClick != null) {
       if (disabled) {
-        domProps.onClick = undefined;
+        // Prevent click propagating if the element is disabled. See #1757
+        domProps.onClick = function(e) {
+          e.stopPropagation();
+        };
       } else if (!isNativeInteractiveElement) {
         // For native elements that are focusable but don't dispatch 'click' events
         // for keyboards.