diff --git a/packages/enzyme-test-suite/package.json b/packages/enzyme-test-suite/package.json
index fc118bd50..597e25d66 100644
--- a/packages/enzyme-test-suite/package.json
+++ b/packages/enzyme-test-suite/package.json
@@ -33,6 +33,7 @@
     "enzyme": "^3.3.0",
     "enzyme-adapter-utils": "^1.5.0",
     "jsdom": "^6.5.1",
+    "lodash.isequal": "^4.5.0",
     "mocha-wrap": "^2.1.2",
     "object.assign": "^4.1.0",
     "object-inspect": "^1.6.0",
diff --git a/packages/enzyme-test-suite/test/ReactWrapper-spec.jsx b/packages/enzyme-test-suite/test/ReactWrapper-spec.jsx
index 6c30a4df8..abbf38dc8 100644
--- a/packages/enzyme-test-suite/test/ReactWrapper-spec.jsx
+++ b/packages/enzyme-test-suite/test/ReactWrapper-spec.jsx
@@ -4,6 +4,7 @@ import PropTypes from 'prop-types';
 import { expect } from 'chai';
 import sinon from 'sinon';
 import wrap from 'mocha-wrap';
+import isEqual from 'lodash.isequal';
 import {
   mount,
   render,
@@ -27,6 +28,7 @@ import {
   createRef,
   Fragment,
   forwardRef,
+  PureComponent,
 } from './_helpers/react-compat';
 import {
   describeWithDOM,
@@ -5128,6 +5130,78 @@ describeWithDOM('mount', () => {
       });
     });
 
+    describeIf(is('>= 15.3'), 'PureComponent', () => {
+      it('does not update when state and props did not change', () => {
+        class Foo extends PureComponent {
+          constructor(props) {
+            super(props);
+            this.state = {
+              foo: 'init',
+            };
+          }
+
+          componentDidUpdate() {}
+
+          render() {
+            return (
+              <div>
+                {this.state.foo}
+              </div>
+            );
+          }
+        }
+        const spy = sinon.spy(Foo.prototype, 'componentDidUpdate');
+        const wrapper = mount(<Foo id={1} />);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+      });
+    });
+
+    describe('Own PureComponent implementation', () => {
+      it('does not update when state and props did not change', () => {
+        class Foo extends React.Component {
+          constructor(props) {
+            super(props);
+            this.state = {
+              foo: 'init',
+            };
+          }
+
+          shouldComponentUpdate(nextProps, nextState) {
+            return !isEqual(this.props, nextProps) || !isEqual(this.state, nextState);
+          }
+
+          componentDidUpdate() {}
+
+          render() {
+            return (
+              <div>
+                {this.state.foo}
+              </div>
+            );
+          }
+        }
+        const spy = sinon.spy(Foo.prototype, 'componentDidUpdate');
+        const wrapper = mount(<Foo id={1} />);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+      });
+    });
+
     describeIf(is('>= 16.3'), 'support getSnapshotBeforeUpdate', () => {
       it('calls getSnapshotBeforeUpdate and pass snapshot to componentDidUpdate', () => {
         const spy = sinon.spy();
diff --git a/packages/enzyme-test-suite/test/ShallowWrapper-spec.jsx b/packages/enzyme-test-suite/test/ShallowWrapper-spec.jsx
index 92a0b9e47..c561b2bbb 100644
--- a/packages/enzyme-test-suite/test/ShallowWrapper-spec.jsx
+++ b/packages/enzyme-test-suite/test/ShallowWrapper-spec.jsx
@@ -3,6 +3,7 @@ import PropTypes from 'prop-types';
 import { expect } from 'chai';
 import sinon from 'sinon';
 import wrap from 'mocha-wrap';
+import isEqual from 'lodash.isequal';
 import {
   shallow,
   render,
@@ -27,6 +28,7 @@ import {
   createRef,
   Fragment,
   forwardRef,
+  PureComponent,
 } from './_helpers/react-compat';
 import {
   describeIf,
@@ -5499,6 +5501,78 @@ describe('shallow', () => {
       });
     });
 
+    describeIf(is('>= 15.3'), 'PureComponent', () => {
+      it('does not update when state and props did not change', () => {
+        class Foo extends PureComponent {
+          constructor(props) {
+            super(props);
+            this.state = {
+              foo: 'init',
+            };
+          }
+
+          componentDidUpdate() {}
+
+          render() {
+            return (
+              <div>
+                {this.state.foo}
+              </div>
+            );
+          }
+        }
+        const spy = sinon.spy(Foo.prototype, 'componentDidUpdate');
+        const wrapper = shallow(<Foo id={1} />);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+      });
+    });
+
+    describe('Own PureComponent implementation', () => {
+      it('does not update when state and props did not change', () => {
+        class Foo extends React.Component {
+          constructor(props) {
+            super(props);
+            this.state = {
+              foo: 'init',
+            };
+          }
+
+          shouldComponentUpdate(nextProps, nextState) {
+            return !isEqual(this.props, nextProps) || !isEqual(this.state, nextState);
+          }
+
+          componentDidUpdate() {}
+
+          render() {
+            return (
+              <div>
+                {this.state.foo}
+              </div>
+            );
+          }
+        }
+        const spy = sinon.spy(Foo.prototype, 'componentDidUpdate');
+        const wrapper = mount(<Foo id={1} />);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+        wrapper.setState({ foo: 'update' });
+        expect(spy).to.have.property('callCount', 1);
+
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+        wrapper.setProps({ id: 2 });
+        expect(spy).to.have.property('callCount', 2);
+      });
+    });
+
     describeIf(is('>= 16.3'), 'support getSnapshotBeforeUpdate', () => {
       it('calls getSnapshotBeforeUpdate and pass snapshot to componentDidUpdate', () => {
         const spy = sinon.spy();
diff --git a/packages/enzyme-test-suite/test/_helpers/react-compat.js b/packages/enzyme-test-suite/test/_helpers/react-compat.js
index 3b36c3847..7fb9d72df 100644
--- a/packages/enzyme-test-suite/test/_helpers/react-compat.js
+++ b/packages/enzyme-test-suite/test/_helpers/react-compat.js
@@ -16,6 +16,7 @@ let Fragment;
 let StrictMode;
 let AsyncMode;
 let Profiler;
+let PureComponent;
 
 if (is('>=15.5 || ^16.0.0-alpha || ^16.3.0-alpha')) {
   // eslint-disable-next-line import/no-extraneous-dependencies
@@ -37,6 +38,12 @@ if (is('^16.0.0-0 || ^16.3.0-0')) {
   createPortal = null;
 }
 
+if (is('>=15.3')) {
+  ({ PureComponent } = require('react'));
+} else {
+  PureComponent = null;
+}
+
 if (is('^16.2.0-0')) {
   ({ Fragment } = require('react'));
 } else {
@@ -78,4 +85,5 @@ export {
   StrictMode,
   AsyncMode,
   Profiler,
+  PureComponent,
 };
diff --git a/packages/enzyme/src/ShallowWrapper.js b/packages/enzyme/src/ShallowWrapper.js
index 8160100b9..204aabd7c 100644
--- a/packages/enzyme/src/ShallowWrapper.js
+++ b/packages/enzyme/src/ShallowWrapper.js
@@ -158,6 +158,14 @@ function privateSetNodes(wrapper, nodes) {
   privateSet(wrapper, 'length', wrapper[NODES].length);
 }
 
+function pureComponentShouldComponentUpdate(prevProps, props, prevState, state) {
+  return !isEqual(prevProps, props) || !isEqual(prevState, state);
+}
+
+function isPureComponent(instance) {
+  return instance && instance.isPureReactComponent;
+}
+
 /**
  * @class ShallowWrapper
  */
@@ -342,6 +350,13 @@ class ShallowWrapper {
             && typeof instance.shouldComponentUpdate === 'function'
           ) {
             spy = spyMethod(instance, 'shouldComponentUpdate');
+          } else if (isPureComponent(instance)) {
+            shouldRender = pureComponentShouldComponentUpdate(
+              prevProps,
+              props,
+              state,
+              instance.state,
+            );
           }
           if (props) this[UNRENDERED] = cloneElement(adapter, this[UNRENDERED], props);
           this[RENDERER].render(this[UNRENDERED], nextContext);
@@ -472,6 +487,13 @@ class ShallowWrapper {
           && typeof instance.shouldComponentUpdate === 'function'
         ) {
           spy = spyMethod(instance, 'shouldComponentUpdate');
+        } else if (isPureComponent(instance)) {
+          shouldRender = pureComponentShouldComponentUpdate(
+            prevProps,
+            instance.props,
+            prevState,
+            statePayload,
+          );
         }
         // We don't pass the setState callback here
         // to guarantee to call the callback after finishing the render