diff --git a/src/App.css b/src/App.css
index 65051ee..5d716dc 100644
--- a/src/App.css
+++ b/src/App.css
@@ -159,6 +159,7 @@ body,
 }
 
 .block {
+  position: relative;
   margin: 0 -8px;
   padding: 0 8px;
   border-radius: 4px;
@@ -169,6 +170,42 @@ body,
   outline-color: #3b82f6;
 }
 
+/* Sits in the Page's left margin; wide enough to bridge the gap so hover persists. */
+.block-handle {
+  position: absolute;
+  top: 50%;
+  right: 100%;
+  transform: translateY(-50%);
+  display: none;
+  padding-right: 4px;
+}
+
+.block:hover > .block-handle,
+.block-selected > .block-handle,
+.block-handle:focus-within {
+  display: flex;
+}
+
+.block-delete {
+  display: flex;
+  align-items: center;
+  justify-content: center;
+  width: 28px;
+  height: 28px;
+  padding: 0;
+  color: #777;
+  background: transparent;
+  border: none;
+  border-radius: 6px;
+  cursor: pointer;
+}
+
+.block-delete:hover,
+.block-delete:focus-visible {
+  color: #b91c1c;
+  background: rgba(185, 28, 28, 0.1);
+}
+
 .properties-panel .field {
   display: flex;
   flex-direction: column;
diff --git a/src/components/Worksheet.tsx b/src/components/Worksheet.tsx
index f22ac0b..2807647 100644
--- a/src/components/Worksheet.tsx
+++ b/src/components/Worksheet.tsx
@@ -10,9 +10,16 @@ export function Worksheet() {
   const { state, dispatch } = useWorksheet();
   const insertionIndex = useInsertionIndex();
   const { setNodeRef } = useDroppable({ id: WORKSHEET_DROPPABLE_ID });
+  const { selectedId } = state;
 
   useEffect(() => {
     const onKeyDown = (event: KeyboardEvent) => {
+      if (event.key === 'Delete' || event.key === 'Backspace') {
+        if (selectedId === null || isTextEntry(document.activeElement)) return;
+        event.preventDefault();
+        dispatch({ type: 'remove', id: selectedId });
+        return;
+      }
       if (event.key !== 'Escape') return;
       if (document.activeElement instanceof HTMLElement) {
         document.activeElement.blur();
@@ -21,7 +28,7 @@ export function Worksheet() {
     };
     window.addEventListener('keydown', onKeyDown);
     return () => window.removeEventListener('keydown', onKeyDown);
-  }, [dispatch]);
+  }, [dispatch, selectedId]);
 
   return (
     <main
@@ -59,6 +66,9 @@ export function Worksheet() {
   );
 }
 
+const isTextEntry = (element: Element | null) =>
+  element?.closest('input, textarea, select, [contenteditable]') != null;
+
 function InsertionLine() {
   return <div role="separator" className="insertion-line" />;
 }
@@ -84,6 +94,31 @@ function BlockHost({
       onClick={select}
       onFocus={select}
     >
+      <div className="block-handle">
+        <button
+          type="button"
+          className="block-delete"
+          aria-label="Delete Block"
+          onClick={(event) => {
+            event.stopPropagation();
+            dispatch({ type: 'remove', id: block.id });
+          }}
+        >
+          <svg
+            aria-hidden="true"
+            viewBox="0 0 16 16"
+            width="14"
+            height="14"
+            fill="none"
+            stroke="currentColor"
+            strokeWidth="1.5"
+            strokeLinecap="round"
+            strokeLinejoin="round"
+          >
+            <path d="M2.5 4h11M6 4V2.5h4V4M4 4l.6 9h6.8l.6-9M6.5 6.5v4M9.5 6.5v4" />
+          </svg>
+        </button>
+      </div>
       <View
         data={block.data}
         autoFocus={autoFocus}
diff --git a/src/components/delete-block.test.tsx b/src/components/delete-block.test.tsx
new file mode 100644
index 0000000..26db093
--- /dev/null
+++ b/src/components/delete-block.test.tsx
@@ -0,0 +1,80 @@
+// @vitest-environment jsdom
+import { render, screen, waitFor } from '@testing-library/react';
+import userEvent from '@testing-library/user-event';
+import { describe, expect, it } from 'vitest';
+import { WorksheetProvider } from '../worksheet/context';
+import { BlockPalette } from './BlockPalette';
+import { Worksheet } from './Worksheet';
+import { WorksheetDnd } from './WorksheetDnd';
+
+function setup() {
+  render(
+    <WorksheetProvider>
+      <WorksheetDnd>
+        <BlockPalette />
+        <Worksheet />
+      </WorksheetDnd>
+    </WorksheetProvider>,
+  );
+}
+
+const blocks = () => Array.from(document.querySelectorAll('.block'));
+const insert = (name: string) =>
+  userEvent.click(screen.getByRole('button', { name }));
+const hint = () => screen.queryByText('Drag a Block here from the left');
+
+/** Moves focus out of the Block's text while keeping the Block selected. */
+const blurText = () => (document.activeElement as HTMLElement).blur();
+
+describe('deleting Blocks', () => {
+  it('removes a Block with the delete button on its handle', async () => {
+    setup();
+    await insert('Heading');
+    await insert('Body Text');
+
+    await userEvent.click(
+      blocks()[0].querySelector<HTMLElement>('[aria-label="Delete Block"]')!,
+    );
+
+    expect(blocks()).toHaveLength(1);
+    expect(blocks()[0].querySelector('.heading')).toBeNull();
+  });
+
+  it('shows the empty-Worksheet hint again after deleting the last Block', async () => {
+    setup();
+    await insert('Heading');
+    expect(hint()).toBeNull();
+
+    await userEvent.click(screen.getByRole('button', { name: 'Delete Block' }));
+
+    expect(hint()).not.toBeNull();
+  });
+
+  it.each(['{Delete}', '{Backspace}'])(
+    'removes the selected Block on %s when its text is not focused',
+    async (key) => {
+      setup();
+      await insert('Heading');
+      blurText();
+
+      await userEvent.keyboard(key);
+
+      expect(blocks()).toHaveLength(0);
+    },
+  );
+
+  it.each(['{Delete}', '{Backspace}'])(
+    'never removes the Block on %s while typing in its text',
+    async (key) => {
+      setup();
+      await insert('Heading');
+      await waitFor(() =>
+        expect(blocks()[0].querySelector('.heading')).toHaveFocus(),
+      );
+
+      await userEvent.keyboard(key);
+
+      expect(blocks()).toHaveLength(1);
+    },
+  );
+});
diff --git a/src/worksheet/reducer.test.ts b/src/worksheet/reducer.test.ts
index 607014e..fbb4778 100644
--- a/src/worksheet/reducer.test.ts
+++ b/src/worksheet/reducer.test.ts
@@ -158,3 +158,49 @@ describe('worksheetReducer selection', () => {
     expect(state.blocks.map((b) => b.id)).toEqual([...ids, state.selectedId]);
   });
 });
+
+describe('worksheetReducer remove', () => {
+  const twoBlocks = () => {
+    let state = initialState;
+    state = worksheetReducer(state, { type: 'insert', blockType: 'heading' });
+    state = worksheetReducer(state, { type: 'insert', blockType: 'heading' });
+    return state;
+  };
+
+  it('removes the Block', () => {
+    const state = twoBlocks();
+    const [first, second] = state.blocks;
+
+    const next = worksheetReducer(state, { type: 'remove', id: first.id });
+
+    expect(next.blocks.map((b) => b.id)).toEqual([second.id]);
+  });
+
+  it('clears the selection when removing the selected Block', () => {
+    const state = twoBlocks();
+
+    const next = worksheetReducer(state, {
+      type: 'remove',
+      id: state.selectedId!,
+    });
+
+    expect(next.selectedId).toBeNull();
+  });
+
+  it('keeps the selection when removing another Block', () => {
+    const state = twoBlocks();
+
+    const next = worksheetReducer(state, {
+      type: 'remove',
+      id: state.blocks[0].id,
+    });
+
+    expect(next.selectedId).toBe(state.selectedId);
+  });
+
+  it('leaves the state unchanged for an unknown id', () => {
+    const state = twoBlocks();
+
+    expect(worksheetReducer(state, { type: 'remove', id: 'nope' })).toBe(state);
+  });
+});
diff --git a/src/worksheet/reducer.ts b/src/worksheet/reducer.ts
index 9d74e8d..1bfb7cf 100644
--- a/src/worksheet/reducer.ts
+++ b/src/worksheet/reducer.ts
@@ -13,6 +13,7 @@ export type WorksheetState = {
 export type WorksheetAction =
   | { type: 'insert'; blockType: string; index?: number }
   | { type: 'update'; id: string; data: unknown }
+  | { type: 'remove'; id: string }
   | { type: 'select'; id: string }
   | { type: 'deselect' };
 
@@ -56,6 +57,15 @@ export const createWorksheetReducer =
           nextId: state.nextId + 1,
         };
       }
+      case 'remove':
+        return state.blocks.some((b) => b.id === action.id)
+          ? {
+              ...state,
+              blocks: state.blocks.filter((b) => b.id !== action.id),
+              selectedId:
+                state.selectedId === action.id ? null : state.selectedId,
+            }
+          : state;
       case 'select':
         return state.blocks.some((b) => b.id === action.id)
           ? { ...state, selectedId: action.id }