diff --git a/src/index.scss b/src/index.scss
index bc0a403f1b..f1e1999361 100755
--- a/src/index.scss
+++ b/src/index.scss
@@ -19,3 +19,4 @@
 @import "course-updates/CourseUpdates";
 @import "export-page/CourseExportPage";
 @import "import-page/CourseImportPage";
+@import "taxonomy/TaxonomyCard.scss";
diff --git a/src/taxonomy/TaxonomyCard.jsx b/src/taxonomy/TaxonomyCard.jsx
index 53ac777c52..c4d4c25d5a 100644
--- a/src/taxonomy/TaxonomyCard.jsx
+++ b/src/taxonomy/TaxonomyCard.jsx
@@ -1,21 +1,29 @@
-import React from 'react';
+import React, { useState } from 'react';
 import {
   Badge,
+  IconButton,
   Card,
   OverlayTrigger,
   Popover,
+  ModalPopup,
+  Menu,
+  Icon,
+  MenuItem,
 } from '@edx/paragon';
+import { MoreVert } from '@edx/paragon/icons';
 import { injectIntl, intlShape } from '@edx/frontend-platform/i18n';
 import PropTypes from 'prop-types';
 import classNames from 'classnames';
 import messages from './messages';
-import './TaxonomyCard.scss';
 
 const TaxonomyCard = ({ className, original, intl }) => {
   const {
     id, name, description, systemDefined, orgsCount,
   } = original;
 
+  const [menuIsOpen, setMenuIsOpen] = useState(false);
+  const [menuTarget, setMenuTarget] = useState(null);
+
   const orgsCountEnabled = () => orgsCount !== undefined && orgsCount !== 0;
 
   const getSystemBadgeToolTip = () => (
@@ -53,10 +61,33 @@ const TaxonomyCard = ({ className, original, intl }) => {
     return undefined;
   };
 
+  const onClickExport = () => {
+    setMenuIsOpen(false);
+  };
+
   const getHeaderActions = () => (
-    // Menu button
-    // TODO Add functionality to this menu
-    undefined
+    <>
+      <IconButton
+        variant="primary"
+        onClick={() => setMenuIsOpen(true)}
+        ref={setMenuTarget}
+        src={MoreVert}
+        iconAs={Icon}
+        alt={intl.formatMessage(messages.taxonomyMenuAlt, { name })}
+        data-testid={`taxonomy-card-menu-button-${id}`}
+      />
+      <ModalPopup
+        positionRef={menuTarget}
+        isOpen={menuIsOpen}
+        onClose={() => setMenuIsOpen(false)}
+      >
+        <Menu data-testid={`taxonomy-card-menu-${id}`}>
+          <MenuItem className="taxonomy-menu-item" onClick={onClickExport}>
+            {intl.formatMessage(messages.taxonomyCardExportMenu)}
+          </MenuItem>
+        </Menu>
+      </ModalPopup>
+    </>
   );
 
   return (
diff --git a/src/taxonomy/TaxonomyCard.scss b/src/taxonomy/TaxonomyCard.scss
index 35e198abe8..b4839bd1c2 100644
--- a/src/taxonomy/TaxonomyCard.scss
+++ b/src/taxonomy/TaxonomyCard.scss
@@ -29,4 +29,21 @@
     text-overflow: ellipsis;
     white-space: nowrap;
   }
+
+  .taxonomy-menu-item:focus {
+    /**
+     * There is a bug in the menu that auto focus the first item.
+     * We convert the focus style to a normal style.
+     */
+    background-color: white !important;
+    font-weight: normal !important;
+  }
+
+  .taxonomy-menu-item:focus:hover {
+    /**
+     * Check the previous block about the focus.
+     * This enable a normal hover to focused items.
+     */
+    background-color: $light-500 !important;
+  }
 }
diff --git a/src/taxonomy/TaxonomyCard.test.jsx b/src/taxonomy/TaxonomyCard.test.jsx
index d4efe90bc1..a4e192342a 100644
--- a/src/taxonomy/TaxonomyCard.test.jsx
+++ b/src/taxonomy/TaxonomyCard.test.jsx
@@ -2,7 +2,7 @@ import React from 'react';
 import { IntlProvider, injectIntl } from '@edx/frontend-platform/i18n';
 import { initializeMockApp } from '@edx/frontend-platform';
 import { AppProvider } from '@edx/frontend-platform/react';
-import { render } from '@testing-library/react';
+import { render, fireEvent } from '@testing-library/react';
 import PropTypes from 'prop-types';
 
 import initializeStore from '../store';
@@ -12,6 +12,7 @@ import TaxonomyCard from './TaxonomyCard';
 let store;
 
 const data = {
+  id: 1,
   name: 'Taxonomy 1',
   description: 'This is a description',
 };
@@ -81,4 +82,23 @@ describe('<TaxonomyCard />', async () => {
     const { getByText } = render(<TaxonomyCardComponent original={cardData} />);
     expect(getByText('Assigned to 6 orgs')).toBeInTheDocument();
   });
+
+  test('should open and close menu on button click', () => {
+    const { getByTestId, getByText } = render(<TaxonomyCardComponent original={data} />);
+
+    // Menu closed
+    expect(() => getByTestId('taxonomy-card-menu-1')).toThrow();
+
+    // Click on the menu button to open
+    fireEvent.click(getByTestId('taxonomy-card-menu-button-1'));
+
+    // Menu open
+    expect(getByTestId('taxonomy-card-menu-1')).toBeInTheDocument();
+
+    // Click on any element to close the menu
+    fireEvent.click(getByText('Export'));
+
+    // Menu closed
+    expect(() => getByTestId('taxonomy-card-menu-1')).toThrow();
+  });
 });
diff --git a/src/taxonomy/messages.js b/src/taxonomy/messages.js
index c92cdc788f..f64a56156c 100644
--- a/src/taxonomy/messages.js
+++ b/src/taxonomy/messages.js
@@ -37,6 +37,14 @@ const messages = defineMessages({
     id: 'course-authoring.taxonomy-list.popover.system-defined.body',
     defaultMessage: 'This is a system-level taxonomy and is enabled by default.',
   },
+  taxonomyCardExportMenu: {
+    id: 'course-authoring.taxonomy-list.menu.export.label',
+    defaultMessage: 'Export',
+  },
+  taxonomyMenuAlt: {
+    id: 'course-authoring.taxonomy-list.menu.alt',
+    defaultMessage: '{name} menu',
+  },
 });
 
 export default messages;