diff --git a/packages/material-ui/src/Step/Step.d.ts b/packages/material-ui/src/Step/Step.d.ts
index 14f33160abe81c..77a9a4f67ec8ff 100644
--- a/packages/material-ui/src/Step/Step.d.ts
+++ b/packages/material-ui/src/Step/Step.d.ts
@@ -11,6 +11,7 @@ export interface StepProps
   connector?: React.ReactElement<any>;
   disabled?: boolean;
   index?: number;
+  last?: boolean;
   orientation?: Orientation;
 }
 
diff --git a/packages/material-ui/src/Step/Step.js b/packages/material-ui/src/Step/Step.js
index 3d41f19e295513..a382245d18b03c 100644
--- a/packages/material-ui/src/Step/Step.js
+++ b/packages/material-ui/src/Step/Step.js
@@ -40,6 +40,7 @@ function Step(props) {
     connector,
     disabled,
     index,
+    last,
     orientation,
     ...other
   } = props;
@@ -85,6 +86,7 @@ function Step(props) {
           alternativeLabel,
           completed,
           disabled,
+          last,
           icon: index + 1,
           orientation,
           ...child.props,
@@ -136,6 +138,10 @@ Step.propTypes = {
    * Used internally for numbering.
    */
   index: PropTypes.number,
+  /**
+   * @ignore
+   */
+  last: PropTypes.bool,
   /**
    * @ignore
    */
diff --git a/packages/material-ui/src/StepLabel/StepLabel.js b/packages/material-ui/src/StepLabel/StepLabel.js
index 97bdda7712be9a..e0970ac7fd9f98 100644
--- a/packages/material-ui/src/StepLabel/StepLabel.js
+++ b/packages/material-ui/src/StepLabel/StepLabel.js
@@ -75,6 +75,7 @@ function StepLabel(props) {
     disabled,
     error,
     icon,
+    last,
     optional,
     orientation,
     StepIconComponent: StepIconComponentProp,
@@ -177,6 +178,10 @@ StepLabel.propTypes = {
    * Override the default icon.
    */
   icon: PropTypes.node,
+  /**
+   * @ignore
+   */
+  last: PropTypes.bool,
   /**
    * The optional node to display.
    */
@@ -201,6 +206,7 @@ StepLabel.defaultProps = {
   completed: false,
   disabled: false,
   error: false,
+  last: false,
   orientation: 'horizontal',
 };
 
diff --git a/packages/material-ui/src/Stepper/Stepper.js b/packages/material-ui/src/Stepper/Stepper.js
index bf3260f9477844..97687863120003 100644
--- a/packages/material-ui/src/Stepper/Stepper.js
+++ b/packages/material-ui/src/Stepper/Stepper.js
@@ -56,9 +56,10 @@ function Stepper(props) {
   const childrenArray = React.Children.toArray(children);
   const steps = childrenArray.map((step, index) => {
     const controlProps = {
-      orientation,
       alternativeLabel,
       connector: connectorProp,
+      last: index + 1 === childrenArray.length,
+      orientation,
     };
 
     const state = {
diff --git a/packages/material-ui/src/Stepper/Stepper.test.js b/packages/material-ui/src/Stepper/Stepper.test.js
index 8f967c9e0cd70b..09f6c4f0dfb96d 100644
--- a/packages/material-ui/src/Stepper/Stepper.test.js
+++ b/packages/material-ui/src/Stepper/Stepper.test.js
@@ -4,7 +4,9 @@ import CheckCircle from '../internal/svg-icons/CheckCircle';
 import { createShallow, createMount } from '../test-utils';
 import Paper from '../Paper';
 import Step from '../Step';
+import StepLabel from '../StepLabel';
 import StepConnector from '../StepConnector';
+import StepContent from '../StepContent';
 import Stepper from './Stepper';
 
 describe('<Stepper />', () => {
@@ -212,4 +214,33 @@ describe('<Stepper />', () => {
     assert.strictEqual(wrapper.find('.child-1').props().active, true);
     assert.strictEqual(wrapper.find('.child-2').props().active, false);
   });
+
+  it('should hide the last connector', () => {
+    const wrapper = mount(
+      <Stepper orientation="vertical">
+        <Step>
+          <StepLabel>one</StepLabel>
+          <StepContent />
+        </Step>
+        <Step>
+          <StepLabel>two</StepLabel>
+          <StepContent />
+        </Step>
+      </Stepper>,
+    );
+    assert.strictEqual(
+      wrapper
+        .find(StepContent)
+        .at(0)
+        .props().last,
+      false,
+    );
+    assert.strictEqual(
+      wrapper
+        .find(StepContent)
+        .at(1)
+        .props().last,
+      true,
+    );
+  });
 });