diff --git a/src/wp-includes/media.php b/src/wp-includes/media.php
index bc7a90ced8..4eb2886205 100644
--- a/src/wp-includes/media.php
+++ b/src/wp-includes/media.php
@@ -2694,11 +2694,15 @@ function adjacent_image_link( $prev = true, $size = 'thumbnail', $text = false )
  * Retrieves taxonomies attached to given the attachment.
  *
  * @since 2.5.0
+ * @since 4.7.0 Introduced the `$output` parameter.
  *
  * @param int|array|object $attachment Attachment ID, data array, or data object.
+ * @param string           $output     Output type. 'names' to return an array of taxonomy names,
+ *                                     or 'objects' to return an array of taxonomy objects.
+ *                                     Default is 'names'.
  * @return array Empty array on failure. List of taxonomies on success.
  */
-function get_attachment_taxonomies( $attachment ) {
+function get_attachment_taxonomies( $attachment, $output = 'names' ) {
 	if ( is_int( $attachment ) ) {
 		$attachment = get_post( $attachment );
 	} elseif ( is_array( $attachment ) ) {
@@ -2723,9 +2727,11 @@ function get_attachment_taxonomies( $attachment ) {
 	}
 
 	$taxonomies = array();
-	foreach ( $objects as $object )
-		if ( $taxes = get_object_taxonomies($object) )
-			$taxonomies = array_merge($taxonomies, $taxes);
+	foreach ( $objects as $object ) {
+		if ( $taxes = get_object_taxonomies( $object, $output ) ) {
+			$taxonomies = array_merge( $taxonomies, $taxes );
+		}
+	}
 
 	return array_unique($taxonomies);
 }
diff --git a/src/wp-includes/taxonomy.php b/src/wp-includes/taxonomy.php
index 70af35a326..20ae20f611 100644
--- a/src/wp-includes/taxonomy.php
+++ b/src/wp-includes/taxonomy.php
@@ -181,7 +181,7 @@ function get_object_taxonomies( $object, $output = 'names' ) {
 
 	if ( is_object($object) ) {
 		if ( $object->post_type == 'attachment' )
-			return get_attachment_taxonomies($object);
+			return get_attachment_taxonomies( $object, $output );
 		$object = $object->post_type;
 	}
 
diff --git a/tests/phpunit/tests/media/getAttachmentTaxonomies.php b/tests/phpunit/tests/media/getAttachmentTaxonomies.php
index c3c7bf49a7..f94b2f1007 100644
--- a/tests/phpunit/tests/media/getAttachmentTaxonomies.php
+++ b/tests/phpunit/tests/media/getAttachmentTaxonomies.php
@@ -79,4 +79,23 @@ class Tests_Media_GetAttachmentTaxonomies extends WP_UnitTestCase {
 
 		$this->assertSame( $expected, $found );
 	}
+
+	/**
+	 * @ticket 37368
+	 */
+	public function test_should_respect_output_objects() {
+		register_taxonomy( 'wptests_tax2', 'attachment:image' );
+
+		$a = self::factory()->attachment->create_object( 'image.jpg', 0, array(
+			'post_mime_type' => 'image/jpeg',
+			'post_type' => 'attachment'
+		) );
+		$attachment = get_post( $a );
+
+		$found = get_attachment_taxonomies( $attachment, 'objects' );
+
+		$this->assertSame( array( 'wptests_tax2' ), array_keys( $found ) );
+		$this->assertInternalType( 'object', $found['wptests_tax2'] );
+		$this->assertSame( 'wptests_tax2', $found['wptests_tax2']->name );
+	}
 }
diff --git a/tests/phpunit/tests/taxonomy/getObjectTaxonomies.php b/tests/phpunit/tests/taxonomy/getObjectTaxonomies.php
index afe5655fd9..2c0710d1bf 100644
--- a/tests/phpunit/tests/taxonomy/getObjectTaxonomies.php
+++ b/tests/phpunit/tests/taxonomy/getObjectTaxonomies.php
@@ -45,4 +45,40 @@ class Tests_Taxonomy_GetObjectTaxonomies extends WP_UnitTestCase {
 
 		$this->assertSame( $expected, $found );
 	}
+
+	/**
+	 * @ticket 37368
+	 */
+	public function test_should_return_all_attachment_taxonomies_for_attachment_object_type() {
+		register_taxonomy( 'wptests_tax2', 'attachment:image' );
+
+		$a = self::factory()->attachment->create_object( 'image.jpg', 0, array(
+			'post_mime_type' => 'image/jpeg',
+			'post_type' => 'attachment'
+		) );
+		$attachment = get_post( $a );
+
+		$found = get_object_taxonomies( $attachment, 'names' );
+
+		$this->assertSame( array( 'wptests_tax2' ), $found );
+	}
+
+	/**
+	 * @ticket 37368
+	 */
+	public function test_should_respect_output_objects_when_object_is_attachment() {
+		register_taxonomy( 'wptests_tax2', 'attachment:image' );
+
+		$a = self::factory()->attachment->create_object( 'image.jpg', 0, array(
+			'post_mime_type' => 'image/jpeg',
+			'post_type' => 'attachment'
+		) );
+		$attachment = get_post( $a );
+
+		$found = get_object_taxonomies( $attachment, 'objects' );
+
+		$this->assertSame( array( 'wptests_tax2' ), array_keys( $found ) );
+		$this->assertInternalType( 'object', $found['wptests_tax2'] );
+		$this->assertSame( 'wptests_tax2', $found['wptests_tax2']->name );
+	}
 }