diff --git a/packages/flutter/lib/src/material/stepper.dart b/packages/flutter/lib/src/material/stepper.dart
index 32982fa232..17eec2e018 100644
--- a/packages/flutter/lib/src/material/stepper.dart
+++ b/packages/flutter/lib/src/material/stepper.dart
@@ -222,6 +222,7 @@ class Stepper extends StatefulWidget {
     this.stepIconHeight,
     this.stepIconWidth,
     this.stepIconMargin,
+    this.clipBehavior = Clip.none,
   })  : assert(0 <= currentStep && currentStep < steps.length),
         assert(stepIconHeight == null || (stepIconHeight >= _kStepSize && stepIconHeight <= _kMaxStepSize),
             'stepIconHeight must be greater than $_kStepSize and less or equal to $_kMaxStepSize'),
@@ -366,6 +367,15 @@ class Stepper extends StatefulWidget {
   /// Overrides the default step icon margin.
   final EdgeInsets? stepIconMargin;
 
+  /// The [Step.content] will be clipped to this Clip type.
+  ///
+  /// Defaults to [Clip.none].
+  ///
+  /// See also:
+  ///
+  ///  * [Clip], which explains how to use this property.
+  final Clip clipBehavior;
+
   @override
   State<Stepper> createState() => _StepperState();
 }
@@ -795,7 +805,10 @@ class _StepperState extends State<Stepper> with TickerProviderStateMixin {
             ),
             child: Column(
               children: <Widget>[
-                widget.steps[index].content,
+                ClipRect(
+                  clipBehavior: widget.clipBehavior,
+                  child: widget.steps[index].content,
+                ),
                 _buildVerticalControls(index),
               ],
             ),
@@ -888,7 +901,10 @@ class _StepperState extends State<Stepper> with TickerProviderStateMixin {
         Visibility(
           maintainState: true,
           visible: i == widget.currentStep,
-          child: widget.steps[i].content,
+          child: ClipRect(
+            clipBehavior: widget.clipBehavior,
+            child: widget.steps[i].content,
+          ),
         ),
       );
     }
diff --git a/packages/flutter/test/material/stepper_test.dart b/packages/flutter/test/material/stepper_test.dart
index 9c57d8e799..2ce124ff5f 100644
--- a/packages/flutter/test/material/stepper_test.dart
+++ b/packages/flutter/test/material/stepper_test.dart
@@ -1720,6 +1720,91 @@ testWidgets('Stepper custom indexed controls test', (WidgetTester tester) async
     ));
     expect(lastConnector.width, equals(0.0));
   });
+
+  // This is a regression test for https://github.com/flutter/flutter/issues/66007.
+  testWidgets('Default Stepper clipBehavior', (WidgetTester tester) async {
+    Widget buildStepper({ required StepperType type }) {
+      return MaterialApp(
+        home: Scaffold(
+          body: Center(
+            child: Stepper(
+              type: type,
+              steps: const <Step>[
+                Step(
+                  title: Text('step1'),
+                  content: Text('step1 content'),
+                ),
+                Step(
+                  title: Text('step2'),
+                  content: Text('step2 content'),
+                ),
+              ],
+            ),
+          ),
+        ),
+      );
+    }
+
+    ClipRect getContentClipRect() {
+      return tester.widget<ClipRect>(find.ancestor(
+        of: find.text('step1 content'),
+        matching: find.byType(ClipRect),
+      ).first);
+    }
+
+    // Test vertical stepper with default clipBehavior.
+    await tester.pumpWidget(buildStepper(type: StepperType.vertical));
+
+    expect(getContentClipRect().clipBehavior, equals(Clip.none));
+
+    // Test horizontal stepper with default clipBehavior.
+    await tester.pumpWidget(buildStepper(type: StepperType.horizontal));
+
+    expect(getContentClipRect().clipBehavior, equals(Clip.none));
+  });
+
+  // This is a regression test for https://github.com/flutter/flutter/issues/66007.
+  testWidgets('Stepper steps can be clipped', (WidgetTester tester) async {
+    Widget buildStepper({ required StepperType type, required Clip clipBehavior }) {
+      return MaterialApp(
+        home: Scaffold(
+          body: Center(
+            child: Stepper(
+              clipBehavior: clipBehavior,
+              type: type,
+              steps: const <Step>[
+                Step(
+                  title: Text('step1'),
+                  content: Text('step1 content'),
+                ),
+                Step(
+                  title: Text('step2'),
+                  content: Text('step2 content'),
+                ),
+              ],
+            ),
+          ),
+        ),
+      );
+    }
+
+    ClipRect getContentClipRect() {
+      return tester.widget<ClipRect>(find.ancestor(
+        of: find.text('step1 content'),
+        matching: find.byType(ClipRect),
+      ).first);
+    }
+
+    // Test vertical stepper with clipBehavior set to Clip.hardEdge.
+    await tester.pumpWidget(buildStepper(type: StepperType.vertical, clipBehavior: Clip.hardEdge));
+
+    expect(getContentClipRect().clipBehavior, equals(Clip.hardEdge));
+
+    // Test horizontal stepper with clipBehavior set to Clip.hardEdge.
+    await tester.pumpWidget(buildStepper(type: StepperType.horizontal, clipBehavior: Clip.hardEdge));
+
+    expect(getContentClipRect().clipBehavior, equals(Clip.hardEdge));
+  });
 }
 
 class _TappableColorWidget extends StatefulWidget {