diff --git a/js/src/tooltip.js b/js/src/tooltip.js
index 4b58f31565f2..a7703403852f 100644
--- a/js/src/tooltip.js
+++ b/js/src/tooltip.js
@@ -41,6 +41,7 @@ const DefaultType = {
   container: '(string|element|boolean)',
   fallbackPlacement: '(string|array)',
   boundary: '(string|element)',
+  customClass: '(string|function)',
   sanitize: 'boolean',
   sanitizeFn: '(null|function)',
   whiteList: 'object',
@@ -70,6 +71,7 @@ const Default = {
   container: false,
   fallbackPlacement: 'flip',
   boundary: 'scrollParent',
+  customClass: '',
   sanitize: true,
   sanitizeFn: null,
   whiteList: DefaultWhitelist,
@@ -284,6 +286,7 @@ class Tooltip {
       this._popper = new Popper(this.element, tip, this._getPopperConfig(attachment))
 
       $(tip).addClass(CLASS_NAME_SHOW)
+      $(tip).addClass(this._getCustomClass())
 
       // If this is a touch-enabled device we add extra
       // empty mouseover listeners to the body's immediate children;
@@ -731,6 +734,10 @@ class Tooltip {
     this.config.animation = initConfigAnimation
   }
 
+  _getCustomClass() {
+    return this.element.getAttribute('data-custom-class') || this.config.customClass
+  }
+
   // Static
 
   static _jQueryInterface(config) {
diff --git a/js/tests/unit/popover.js b/js/tests/unit/popover.js
index a5981e45ffc0..102f37f8dff8 100644
--- a/js/tests/unit/popover.js
+++ b/js/tests/unit/popover.js
@@ -61,6 +61,19 @@ $(function () {
       .bootstrapPopover('show')
   })
 
+  QUnit.test('should render popover element with additional classes', function (assert) {
+    assert.expect(2)
+    var done = assert.async()
+    $('<a href="#" title="mdo" data-content="https://twitter.com/mdo" data-custom-class="a b">@mdo</a>')
+      .appendTo('#qunit-fixture')
+      .on('shown.bs.popover', function () {
+        assert.strictEqual($('.popover').hasClass('popover fade bs-popover-right show'), true, 'has default classes')
+        assert.strictEqual($('.popover').hasClass('a b'), true, 'has custom classes')
+        done()
+      })
+      .bootstrapPopover('show')
+  })
+
   QUnit.test('should store popover instance in popover data object', function (assert) {
     assert.expect(1)
     var $popover = $('<a href="#" title="mdo" data-content="https://twitter.com/mdo">@mdo</a>').bootstrapPopover()
diff --git a/js/tests/unit/tooltip.js b/js/tests/unit/tooltip.js
index 4f55007c71d6..b6a40b87369f 100644
--- a/js/tests/unit/tooltip.js
+++ b/js/tests/unit/tooltip.js
@@ -1283,4 +1283,54 @@ $(function () {
 
     assert.strictEqual(popperConfig.placement, 'left')
   })
+
+  QUnit.test('additional classes can be applied via data attribute', function (assert) {
+    assert.expect(2)
+
+    $('<a href="#" rel="tooltip" data-trigger="click" title="Another tooltip" data-custom-class="a b"/>')
+      .appendTo('#qunit-fixture')
+      .bootstrapTooltip()
+      .bootstrapTooltip('show')
+
+    var tooltip = $('.tooltip')
+
+    assert.strictEqual(tooltip.hasClass('a b'), true)
+    assert.strictEqual(tooltip.hasClass('tooltip fade bs-tooltip-top show'), true)
+  })
+
+  QUnit.test('additional classes can be applied via config string', function (assert) {
+    assert.expect(2)
+
+    $('<a href="#" rel="tooltip" data-trigger="click" title="Another tooltip" />')
+      .appendTo('#qunit-fixture')
+      .bootstrapTooltip({
+        customClass: 'a b'
+      })
+      .bootstrapTooltip('show')
+
+    var tooltip = $('.tooltip')
+
+    assert.strictEqual(tooltip.hasClass('a b'), true)
+    assert.strictEqual(tooltip.hasClass('tooltip fade bs-tooltip-top show'), true)
+  })
+
+  QUnit.test('additional classes can be applied via function', function (assert) {
+    assert.expect(2)
+
+    var getClasses = function () {
+      return 'a b'
+    }
+
+    $('<a href="#" rel="tooltip" data-trigger="click" title="Another tooltip" />')
+      .appendTo('#qunit-fixture')
+      .bootstrapTooltip({
+        customClass: getClasses
+      })
+      .bootstrapTooltip('show')
+
+    var tooltip = $('.tooltip')
+
+    assert.strictEqual(tooltip.hasClass('a b'), true)
+    assert.strictEqual(tooltip.hasClass('tooltip fade bs-tooltip-top show'), true)
+  })
 })
diff --git a/site/content/docs/4.5/components/popovers.md b/site/content/docs/4.5/components/popovers.md
index e06a8176957d..a44bbf8c9337 100644
--- a/site/content/docs/4.5/components/popovers.md
+++ b/site/content/docs/4.5/components/popovers.md
@@ -269,6 +269,15 @@ Note that for security reasons the `sanitize`, `sanitizeFn` and `whiteList` opti
       <td>Allow to specify which position Popper will use on fallback. For more information refer to
       Popper.js's <a href="https://popper.js.org/docs/v1/#modifiers..flip.behavior">behavior docs</a></td>
     </tr>
+    <tr>
+      <td>customClass</td>
+      <td>string | function</td>
+      <td>''</td>
+      <td>
+        <p>Add classes to the popover when it is shown. Note that these classes will be added in addition to any classes specified in the template. To add mutiple classes, separate them with spaces: <code>'a b'</code>.</p>
+        <p>You can also pass a function that should return a single string containing additional class names.</p>
+      </td>
+    </tr>
     <tr>
       <td>boundary</td>
       <td>string | element</td>
diff --git a/site/content/docs/4.5/components/tooltips.md b/site/content/docs/4.5/components/tooltips.md
index c297eea16f8a..fdb926bcec4f 100644
--- a/site/content/docs/4.5/components/tooltips.md
+++ b/site/content/docs/4.5/components/tooltips.md
@@ -250,6 +250,15 @@ Note that for security reasons the `sanitize`, `sanitizeFn` and `whiteList` opti
       <td>Allow to specify which position Popper will use on fallback. For more information refer to
       Popper.js's <a href="https://popper.js.org/docs/v1/#modifiers..flip.behavior">behavior docs</a></td>
     </tr>
+    <tr>
+      <td>customClass</td>
+      <td>string | function</td>
+      <td>''</td>
+      <td>
+        <p>Add classes to the popover when it is shown. Note that these classes will be added in addition to any classes specified in the template. To add mutiple classes, separate them with spaces: <code>'a b'</code>.</p>
+        <p>You can also pass a function that should return a single string containing additional class names.</p>
+      </td>
+    </tr>
     <tr>
       <td>boundary</td>
       <td>string | element</td>