diff --git a/lib/jasmine-core/jasmine.js b/lib/jasmine-core/jasmine.js
index 811c0130..7f5e459d 100644
--- a/lib/jasmine-core/jasmine.js
+++ b/lib/jasmine-core/jasmine.js
@@ -159,6 +159,7 @@ getJasmineRequireObj().requireMatchers = function(jRequire, j$) {
       'toHaveBeenCalledTimes',
       'toHaveBeenCalledWith',
       'toHaveClass',
+      'toHaveClasses',
       'toHaveSpyInteractions',
       'toMatch',
       'toThrow',
@@ -6605,6 +6606,41 @@ getJasmineRequireObj().toHaveClass = function(j$) {
   return toHaveClass;
 };
 
+getJasmineRequireObj().toHaveClasses = function(j$) {
+  /**
+   * {@link expect} the actual value to be a DOM element that has the expected classes
+   * @function
+   * @name matchers#toHaveClasses
+   * @since 5.6.0
+   * @param {Object} expected - The class names to test for
+   * @example
+   * const el = document.createElement('div');
+   * el.className = 'foo bar baz';
+   * expect(el).toHaveClasses(['bar', 'baz']);
+   */
+  function toHaveClasses(matchersUtil) {
+    return {
+      compare: function(actual, expected) {
+        if (!isElement(actual)) {
+          throw new Error(matchersUtil.pp(actual) + ' is not a DOM element');
+        }
+
+        return {
+          pass: expected.every(e => actual.classList.contains(e))
+        };
+      }
+    };
+  }
+
+  function isElement(maybeEl) {
+    return (
+      maybeEl && maybeEl.classList && j$.isFunction_(maybeEl.classList.contains)
+    );
+  }
+
+  return toHaveClasses;
+};
+
 getJasmineRequireObj().toHaveSize = function(j$) {
   /**
    * {@link expect} the actual size to be equal to the expected, using array-like length or object keys size.
diff --git a/spec/core/integration/MatchersSpec.js b/spec/core/integration/MatchersSpec.js
index f09656cd..51b5e148 100755
--- a/spec/core/integration/MatchersSpec.js
+++ b/spec/core/integration/MatchersSpec.js
@@ -621,6 +621,20 @@ describe('Matchers (Integration)', function() {
     });
   });
 
+  describe('toHaveClasses', function() {
+    verifyPasses(function(env) {
+      const el = specHelpers.domHelpers.createElementWithClassName(
+        'foo bar baz'
+      );
+      env.expect(el).toHaveClasses(['bar', 'baz']);
+    });
+
+    verifyFails(function(env) {
+      const el = specHelpers.domHelpers.createElementWithClassName('foo bar');
+      env.expect(el).toHaveClasses(['bar', 'baz']);
+    });
+  });
+
   describe('toHaveSpyInteractions', function() {
     let spyObj;
     beforeEach(function() {
diff --git a/spec/core/matchers/toHaveClassesSpec.js b/spec/core/matchers/toHaveClassesSpec.js
new file mode 100644
index 00000000..0a55edc3
--- /dev/null
+++ b/spec/core/matchers/toHaveClassesSpec.js
@@ -0,0 +1,48 @@
+describe('toHaveClasses', function() {
+  it('fails for a DOM element that lacks all the expected classes', function() {
+    const matcher = jasmineUnderTest.matchers.toHaveClasses(),
+      result = matcher.compare(
+        specHelpers.domHelpers.createElementWithClassName(''),
+        ['foo', 'bar']
+      );
+
+    expect(result.pass).toBe(false);
+  });
+
+  it('passes for a DOM element that has all the expected classes', function() {
+    const matcher = jasmineUnderTest.matchers.toHaveClasses(),
+      el = specHelpers.domHelpers.createElementWithClassName('foo bar baz');
+
+    expect(matcher.compare(el, ['foo', 'bar']).pass).toBe(true);
+  });
+
+  it('fails for a DOM element that only has some matching classes', function() {
+    const matcher = jasmineUnderTest.matchers.toHaveClasses(),
+      el = specHelpers.domHelpers.createElementWithClassName('foo bar');
+
+    expect(matcher.compare(el, ['foo', 'can']).pass).toBe(false);
+  });
+
+  it('throws an exception when actual is not a DOM element', function() {
+    const matcher = jasmineUnderTest.matchers.toHaveClasses({
+      pp: jasmineUnderTest.makePrettyPrinter()
+    });
+
+    expect(function() {
+      matcher.compare('x', ['foo']);
+    }).toThrowError("'x' is not a DOM element");
+
+    expect(function() {
+      matcher.compare(undefined, ['foo']);
+    }).toThrowError('undefined is not a DOM element');
+
+    const textNode = specHelpers.domHelpers.document.createTextNode('');
+    expect(function() {
+      matcher.compare(textNode, ['foo']);
+    }).toThrowError('HTMLNode is not a DOM element');
+
+    expect(function() {
+      matcher.compare({ classList: '' }, ['foo']);
+    }).toThrowError("Object({ classList: '' }) is not a DOM element");
+  });
+});
diff --git a/src/core/matchers/requireMatchers.js b/src/core/matchers/requireMatchers.js
index b15435c4..c8fb4de3 100755
--- a/src/core/matchers/requireMatchers.js
+++ b/src/core/matchers/requireMatchers.js
@@ -27,6 +27,7 @@ getJasmineRequireObj().requireMatchers = function(jRequire, j$) {
       'toHaveBeenCalledTimes',
       'toHaveBeenCalledWith',
       'toHaveClass',
+      'toHaveClasses',
       'toHaveSpyInteractions',
       'toMatch',
       'toThrow',
diff --git a/src/core/matchers/toHaveClasses.js b/src/core/matchers/toHaveClasses.js
new file mode 100644
index 00000000..e8275b35
--- /dev/null
+++ b/src/core/matchers/toHaveClasses.js
@@ -0,0 +1,34 @@
+getJasmineRequireObj().toHaveClasses = function(j$) {
+  /**
+   * {@link expect} the actual value to be a DOM element that has the expected classes
+   * @function
+   * @name matchers#toHaveClasses
+   * @since 5.6.0
+   * @param {Object} expected - The class names to test for
+   * @example
+   * const el = document.createElement('div');
+   * el.className = 'foo bar baz';
+   * expect(el).toHaveClasses(['bar', 'baz']);
+   */
+  function toHaveClasses(matchersUtil) {
+    return {
+      compare: function(actual, expected) {
+        if (!isElement(actual)) {
+          throw new Error(matchersUtil.pp(actual) + ' is not a DOM element');
+        }
+
+        return {
+          pass: expected.every(e => actual.classList.contains(e))
+        };
+      }
+    };
+  }
+
+  function isElement(maybeEl) {
+    return (
+      maybeEl && maybeEl.classList && j$.isFunction_(maybeEl.classList.contains)
+    );
+  }
+
+  return toHaveClasses;
+};