diff --git a/src/vaadin-dialog-draggable-mixin.html b/src/vaadin-dialog-draggable-mixin.html
index a2f0e42..7120300 100644
--- a/src/vaadin-dialog-draggable-mixin.html
+++ b/src/vaadin-dialog-draggable-mixin.html
@@ -55,8 +55,14 @@
           const isResizerContainer = e.target === resizerContainer;
           const isResizerContainerScrollbar = e.offsetX > resizerContainer.clientWidth || e.offsetY > resizerContainer.clientHeight;
           const isContentPart = e.target === this.$.overlay.$.content;
-          const isDraggable = e.composedPath().some(node => {
-            return node.classList && node.classList.contains(this.__dragHandleClassName || 'draggable');
+
+          const isDraggable = e.composedPath().some((node, index) => {
+            if (node.classList) {
+              const isDraggableNode = node.classList.contains(this.__dragHandleClassName || 'draggable');
+              const isDraggableLeafOnly = node.classList.contains('draggable-leaf-only');
+              const isLeafNode = index === 0;
+              return (isDraggableLeafOnly && isLeafNode) || (isDraggableNode && (!isDraggableLeafOnly || isLeafNode));
+            }
           });
 
           if ((isResizerContainer && !isResizerContainerScrollbar) || isContentPart || isDraggable) {
diff --git a/src/vaadin-dialog.html b/src/vaadin-dialog.html
index 81bb16f..204325f 100644
--- a/src/vaadin-dialog.html
+++ b/src/vaadin-dialog.html
@@ -237,7 +237,12 @@
              *
              * By default, only the overlay area can be used to drag the element. But,
              * a child element can be marked as a draggable area by adding a
-             * "`draggable`" class to it.
+             * "`draggable`" class to it, this will by default make all of its children draggable also.
+             * If you want a child element to be draggable
+             * but still have its children non-draggable (by default), mark it with
+             * "`draggable-leaf-only`" class name.
+             *
+             * @type {boolean}
              */
             draggable: {
               type: Boolean,
diff --git a/test/vaadin-dialog_draggable-resizable-test.html b/test/vaadin-dialog_draggable-resizable-test.html
index 6e3c498..c39396e 100644
--- a/test/vaadin-dialog_draggable-resizable-test.html
+++ b/test/vaadin-dialog_draggable-resizable-test.html
@@ -441,7 +441,10 @@
         before(() => {
           customElements.define('internally-draggable', class extends Polymer.Element {
             static get template() {
-              return Polymer.html`<div class="draggable">draggable</div>`;
+              return Polymer.html`
+              <div class="draggable">
+                <span>draggable</span>
+              </div>`;
             }
           });
         });
@@ -483,6 +486,56 @@
           expect(Math.floor(draggedBounds.left)).to.be.eql(Math.floor(bounds.left + dx));
         });
 
+        it('should not drag by a draggable-leaf-only if it is not the drag event target', () => {
+          const draggable = dialog.$.overlay.querySelector('internally-draggable').shadowRoot.querySelector('.draggable');
+          draggable.classList.add('draggable-leaf-only');
+          const child = draggable.firstElementChild;
+          drag(child);
+          const draggedBounds = container.getBoundingClientRect();
+          expect(Math.floor(draggedBounds.top)).to.be.eql(Math.floor(bounds.top));
+          expect(Math.floor(draggedBounds.left)).to.be.eql(Math.floor(bounds.left));
+        });
+
+        it('should drag by a draggable-leaf-only if it is directly the dragged element', () => {
+          const draggable = dialog.$.overlay.querySelector('internally-draggable').shadowRoot.querySelector('.draggable');
+          draggable.classList.add('draggable-leaf-only');
+          drag(draggable);
+          const draggedBounds = container.getBoundingClientRect();
+          expect(Math.floor(draggedBounds.top)).to.be.eql(Math.floor(bounds.top + dx));
+          expect(Math.floor(draggedBounds.left)).to.be.eql(Math.floor(bounds.left + dx));
+        });
+
+        it('should drag by a draggable-leaf-only child if it is marked as draggable', () => {
+          const draggable = dialog.$.overlay.querySelector('internally-draggable').shadowRoot.querySelector('.draggable');
+          draggable.classList.add('draggable-leaf-only');
+          const child = draggable.firstElementChild;
+          child.classList.add('draggable');
+          drag(child);
+          const draggedBounds = container.getBoundingClientRect();
+          expect(Math.floor(draggedBounds.top)).to.be.eql(Math.floor(bounds.top + dx));
+          expect(Math.floor(draggedBounds.left)).to.be.eql(Math.floor(bounds.left + dx));
+        });
+
+        it('should drag by a draggable-leaf-only child if it is marked as draggable-leaf-only', () => {
+          const draggable = dialog.$.overlay.querySelector('internally-draggable').shadowRoot.querySelector('.draggable');
+          draggable.classList.add('draggable-leaf-only');
+          const child = draggable.firstElementChild;
+          child.classList.add('draggable-leaf-only');
+          drag(child);
+          const draggedBounds = container.getBoundingClientRect();
+          expect(Math.floor(draggedBounds.top)).to.be.eql(Math.floor(bounds.top + dx));
+          expect(Math.floor(draggedBounds.left)).to.be.eql(Math.floor(bounds.left + dx));
+        });
+
+        it('should drag by a child of a draggable node ', () => {
+          const draggable = dialog.$.overlay.querySelector('internally-draggable').shadowRoot.querySelector('.draggable');
+          const child = draggable.firstElementChild;
+          drag(child);
+          const draggedBounds = container.getBoundingClientRect();
+          expect(Math.floor(draggedBounds.top)).to.be.eql(Math.floor(bounds.top + dx));
+          expect(Math.floor(draggedBounds.left)).to.be.eql(Math.floor(bounds.left + dx));
+        });
+
         it('should drag and move dialog after resizing', () => {
           resize(container.querySelector('.s'), 0, dx);
           const bounds = container.getBoundingClientRect();