diff --git a/CHANGELOG.md b/CHANGELOG.md
index 2fc18fb8af4e..e911716f6511 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -2,6 +2,8 @@
 
 ### Features
 
+* `[expect]` Suggest toContainEqual
+  ([#5948](https://github.com/facebook/jest/pull/5953))
 * `[jest-config]` Export Jest's default options
   ([#5948](https://github.com/facebook/jest/pull/5948))
 * `[jest-editor-support]` Move `coverage` to `ProjectWorkspace.collectCoverage`
diff --git a/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap b/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap
index cc7fc3b606e9..e77f3ee64c5a 100644
--- a/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap
+++ b/packages/expect/src/__tests__/__snapshots__/matchers.test.js.snap
@@ -1517,7 +1517,7 @@ exports[`.toContain(), .toContainEqual() '[{}, []]' does not contain '[]' 1`] =
 Expected array:
   <red>[{}, []]</>
 To contain value:
-  <green>[]</>"
+  <green>[]</> <dim>Looks like you wanted to test for object/array equality with the stricter \`toContain\` matcher. You probably need to use \`toContainEqual\` instead.</>"
 `;
 
 exports[`.toContain(), .toContainEqual() '[{}, []]' does not contain '{}' 1`] = `
@@ -1526,7 +1526,7 @@ exports[`.toContain(), .toContainEqual() '[{}, []]' does not contain '{}' 1`] =
 Expected array:
   <red>[{}, []]</>
 To contain value:
-  <green>{}</>"
+  <green>{}</> <dim>Looks like you wanted to test for object/array equality with the stricter \`toContain\` matcher. You probably need to use \`toContainEqual\` instead.</>"
 `;
 
 exports[`.toContain(), .toContainEqual() '[0, 1]' contains '1' 1`] = `
diff --git a/packages/expect/src/matchers.js b/packages/expect/src/matchers.js
index 6a81a1faa3e6..773502f7407b 100644
--- a/packages/expect/src/matchers.js
+++ b/packages/expect/src/matchers.js
@@ -16,6 +16,7 @@ import {
   EXPECTED_COLOR,
   RECEIVED_COLOR,
   SUGGEST_TO_EQUAL,
+  SUGGEST_TO_CONTAIN_EQUAL,
   ensureNoExpected,
   ensureNumbers,
   matcherHint,
@@ -297,13 +298,24 @@ const matchers: MatchersObject = {
           `  ${printReceived(collection)}\n` +
           `Not to contain value:\n` +
           `  ${printExpected(value)}\n`
-      : () =>
-          matcherHint('.toContain', collectionType, 'value') +
-          '\n\n' +
-          `Expected ${collectionType}:\n` +
-          `  ${printReceived(collection)}\n` +
-          `To contain value:\n` +
-          `  ${printExpected(value)}`;
+      : () => {
+          const suggestToContainEqual =
+            converted !== null &&
+            typeof converted !== 'string' &&
+            converted instanceof Array &&
+            converted.findIndex(item =>
+              equals(item, value, [iterableEquality]),
+            ) !== -1;
+          return (
+            matcherHint('.toContain', collectionType, 'value') +
+            '\n\n' +
+            `Expected ${collectionType}:\n` +
+            `  ${printReceived(collection)}\n` +
+            `To contain value:\n` +
+            `  ${printExpected(value)}` +
+            (suggestToContainEqual ? ` ${SUGGEST_TO_CONTAIN_EQUAL}` : '')
+          );
+        };
 
     return {message, pass};
   },
diff --git a/packages/jest-matcher-utils/src/index.js b/packages/jest-matcher-utils/src/index.js
index 557dd9cba5ca..8123394744dc 100644
--- a/packages/jest-matcher-utils/src/index.js
+++ b/packages/jest-matcher-utils/src/index.js
@@ -52,6 +52,10 @@ export const SUGGEST_TO_EQUAL = chalk.dim(
   'Looks like you wanted to test for object/array equality with the stricter `toBe` matcher. You probably need to use `toEqual` instead.',
 );
 
+export const SUGGEST_TO_CONTAIN_EQUAL = chalk.dim(
+  'Looks like you wanted to test for object/array equality with the stricter `toContain` matcher. You probably need to use `toContainEqual` instead.',
+);
+
 export const stringify = (object: any, maxDepth?: number = 10): string => {
   const MAX_LENGTH = 10000;
   let result;