diff --git a/README.md b/README.md
index 5b787b1afc..a5e17ed345 100644
--- a/README.md
+++ b/README.md
@@ -109,6 +109,7 @@ Enable the rules that you would like to use.
 * [react/no-find-dom-node](docs/rules/no-find-dom-node.md): Prevent usage of `findDOMNode`
 * [react/no-is-mounted](docs/rules/no-is-mounted.md): Prevent usage of `isMounted`
 * [react/no-multi-comp](docs/rules/no-multi-comp.md): Prevent multiple component definition per file
+* [react/no-pure-component-children](docs/rules/no-pure-component-children.md): Prevent using `React.PureComponent` with children
 * [react/no-redundant-should-component-update](docs/rules/no-redundant-should-component-update.md): Prevent usage of `shouldComponentUpdate` when extending React.PureComponent
 * [react/no-render-return-value](docs/rules/no-render-return-value.md): Prevent usage of the return value of `React.render`
 * [react/no-set-state](docs/rules/no-set-state.md): Prevent usage of `setState`
diff --git a/docs/rules/no-pure-component-children.md b/docs/rules/no-pure-component-children.md
new file mode 100644
index 0000000000..48202c5872
--- /dev/null
+++ b/docs/rules/no-pure-component-children.md
@@ -0,0 +1,54 @@
+# Prevent using React.PureComponent with children (react/no-pure-component-children)
+
+Warns if you have defined children PropTypes when defining a component that extends React.PureComponent.
+Children props are almost never equal, and when they're not, React.PureComponent performs worse than React.Component.
+
+## Rule Details
+
+The following patterns are considered warnings:
+
+```jsx
+class Foo extends React.PureComponent {
+  render() {
+    return <div>Radical!</div>
+  }
+}
+
+Foo.propTypes = {
+  children: PropTypes.node,
+};
+
+class Bar extends React.PureComponent {
+  static propTypes = {
+    children: PropTypes.node,
+  };
+
+  render() {
+    return <div>Groovy!</div>
+  }
+}
+```
+
+The following patterns are **not** considered warnings:
+
+```jsx
+class Foo extends React.Component {
+  render() {
+    return <div>Radical!</div>
+  }
+}
+
+Foo.propTypes = {
+  children: PropTypes.node,
+};
+
+class Bar extends React.Component {
+  static propTypes = {
+    children: PropTypes.node,
+  };
+
+  render() {
+    return <div>Groovy!</div>
+  }
+}
+```
diff --git a/index.js b/index.js
index 45a96d7da3..6af2b9e516 100644
--- a/index.js
+++ b/index.js
@@ -56,6 +56,7 @@ const allRules = {
   'no-find-dom-node': require('./lib/rules/no-find-dom-node'),
   'no-is-mounted': require('./lib/rules/no-is-mounted'),
   'no-multi-comp': require('./lib/rules/no-multi-comp'),
+  'no-pure-component-children': require('./lib/rules/no-pure-component-children'),
   'no-set-state': require('./lib/rules/no-set-state'),
   'no-string-refs': require('./lib/rules/no-string-refs'),
   'no-redundant-should-component-update': require('./lib/rules/no-redundant-should-component-update'),
diff --git a/lib/rules/no-pure-component-children.js b/lib/rules/no-pure-component-children.js
new file mode 100644
index 0000000000..b0fd018f25
--- /dev/null
+++ b/lib/rules/no-pure-component-children.js
@@ -0,0 +1,54 @@
+/**
+ * @fileoverview Prevent using React.PureComponent with children
+ */
+'use strict';
+
+const Components = require('../util/Components');
+const docsUrl = require('../util/docsUrl');
+const has = require('has');
+
+// ------------------------------------------------------------------------------
+// Rule Definition
+// ------------------------------------------------------------------------------
+module.exports = {
+  meta: {
+    docs: {
+      description: 'Prevent using React.PureComponent with children',
+      category: 'Best Practices',
+      recommended: false,
+      url: docsUrl('no-pure-component-children')
+    },
+    schema: []
+  },
+  create: Components.detect((context, components, utils) => ({
+    ClassDeclaration: function(node) {
+      if (utils.isPureComponent(node)) {
+        components.set(node, {
+          isPureComponent: true
+        });
+      }
+    },
+    'Program:exit': function() {
+      const list = components.list();
+
+      for (const key in list) {
+        if (!has(list, key)) {
+          continue;
+        }
+
+        const component = list[key];
+        if (!component.declaredPropTypes || !component.isPureComponent) {
+          continue;
+        }
+
+        if (component.declaredPropTypes.children) {
+          context.report(
+            component.declaredPropTypes.children.node,
+            'Do not use children with PureComponent',
+            {name: 'children'}
+          );
+        }
+      }
+    }
+  }))
+};
diff --git a/tests/lib/rules/no-pure-component-children.js b/tests/lib/rules/no-pure-component-children.js
new file mode 100644
index 0000000000..d3ea682220
--- /dev/null
+++ b/tests/lib/rules/no-pure-component-children.js
@@ -0,0 +1,368 @@
+/**
+ * @fileoverview Tests for no-pure-component-children
+ */
+'use strict';
+
+// -----------------------------------------------------------------------------
+// Requirements
+// -----------------------------------------------------------------------------
+
+const rule = require('../../../lib/rules/no-pure-component-children');
+const RuleTester = require('eslint').RuleTester;
+require('babel-eslint');
+
+const ERROR_MESSAGE = 'Do not use children with PureComponent';
+
+const parserOptions = {
+  ecmaVersion: 2018,
+  sourceType: 'module',
+  ecmaFeatures: {
+    jsx: true
+  }
+};
+
+// -----------------------------------------------------------------------------
+// Tests
+// -----------------------------------------------------------------------------
+const ruleTester = new RuleTester({parserOptions});
+ruleTester.run('no-pure-component-children', rule, {
+  valid: [{
+    code: `
+      var First = createReactClass({
+        render: function() {
+          return <div />;
+        }
+      });
+    `
+  }, {
+    code: `
+      var First = createReactClass({
+        propTypes: externalPropTypes,
+        render: function() {
+          return <div />;
+        }
+      });
+    `
+  }, {
+    code: `
+      var First = createReactClass({
+        propTypes: {
+          foo: PropTypes.string
+        },
+        render: function() {
+          return <div />;
+        }
+      });
+    `
+  }, {
+    code: `
+      var First = createReactClass({
+        propTypes: {
+          children: PropTypes.string
+        },
+        render: function() {
+          return <div />;
+        }
+      });
+    `
+  }, {
+    code: `
+      var First = createReactClass({
+        propTypes: {
+          foo: PropTypes.string
+        },
+        render: function() {
+          return <div />;
+        }
+      });
+      
+      var Second = createReactClass({
+        propTypes: {
+          bar: PropTypes.string
+        },
+        render: function() {
+          return <div />;
+        }
+      });
+    `
+  }, {
+    code: `
+      class Component extends React.Component {
+        render() {
+          return <div />;
+        }
+      }
+    `
+  }, {
+    code: `
+      class Component extends React.Component {
+        render() {
+          return <div />;
+        }
+      }
+      Component.propTypes = {
+        foo: PropTypes.node,
+      };
+    `
+  }, {
+    code: `
+      class Component extends React.Component {
+        render() {
+          return <div />;
+        }
+      }
+      
+      Component.propTypes = {
+        children: PropTypes.node,
+      };
+    `
+  }, {
+    code: `
+      class Component extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      Component.propTypes = {
+        foo: PropTypes.node,
+      };
+    `
+  }, {
+    code: `
+      class FirstComponent extends React.Component {
+        render() {
+          return <div />;
+        }
+      }
+      
+      FirstComponent.propTypes = {
+        children: PropTypes.node,
+      };
+      
+      class SecondComponent extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      SecondComponent.propTypes = {
+        foo: PropTypes.node,
+      };
+    `
+  }, {
+    parser: 'babel-eslint',
+    code: `
+      class Component extends React.Component {
+        static propTypes = {
+          foo: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `
+  }, {
+    parser: 'babel-eslint',
+    code: `
+      class Component extends React.Component {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `
+  }, {
+    parser: 'babel-eslint',
+    code: `
+      class Component extends React.PureComponent {
+        static propTypes = {
+          foo: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `
+  }, {
+    parser: 'babel-eslint',
+    code: `
+      class FirstComponent extends React.Component {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+      
+      class SecondComponent extends React.PureComponent {
+        static propTypes = {
+          foo: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `
+  }],
+  invalid: [{
+    code: `
+      class Component extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      Component.propTypes = {
+        children: PropTypes.node,
+      };
+    `,
+    errors: [{
+      message: ERROR_MESSAGE,
+      line: 8,
+      column: 19,
+      type: 'MemberExpression'
+    }],
+    output: `
+      class Component extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      Component.propTypes = {
+        children: PropTypes.node,
+      };
+    `
+  }, {
+    code: `
+      class FirstComponent extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      FirstComponent.propTypes = {
+        children: PropTypes.node,
+      };
+      
+      class SecondComponent extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      SecondComponent.propTypes = {
+        children: PropTypes.node,
+      };
+    `,
+    errors: [{
+      message: ERROR_MESSAGE,
+      line: 8,
+      column: 19,
+      type: 'MemberExpression'
+    }, {
+      message: ERROR_MESSAGE,
+      line: 17,
+      column: 19,
+      type: 'MemberExpression'
+    }],
+    output: `
+      class FirstComponent extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      FirstComponent.propTypes = {
+        children: PropTypes.node,
+      };
+      
+      class SecondComponent extends React.PureComponent {
+        render() {
+          return <div />;
+        }
+      }
+      SecondComponent.propTypes = {
+        children: PropTypes.node,
+      };
+    `
+  },
+  {
+    parser: 'babel-eslint',
+    code: `
+      class Component extends React.PureComponent {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `,
+    errors: [{
+      message: ERROR_MESSAGE,
+      line: 4,
+      column: 21,
+      type: 'MemberExpression'
+    }],
+    output: `
+      class Component extends React.PureComponent {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `
+  },
+  {
+    parser: 'babel-eslint',
+    code: `
+      class FirstComponent extends React.PureComponent {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+      
+      class SecondComponent extends React.PureComponent {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `,
+    errors: [{
+      message: ERROR_MESSAGE,
+      line: 4,
+      column: 21,
+      type: 'MemberExpression'
+    }, {
+      message: ERROR_MESSAGE,
+      line: 13,
+      column: 21,
+      type: 'MemberExpression'
+    }],
+    output: `
+      class FirstComponent extends React.PureComponent {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+      
+      class SecondComponent extends React.PureComponent {
+        static propTypes = {
+          children: PropTypes.node,
+        };
+        render() {
+          return <div />;
+        }
+      }
+    `
+  }]
+});