diff --git a/src/wp-includes/rest-api/endpoints/class-wp-rest-global-styles-controller.php b/src/wp-includes/rest-api/endpoints/class-wp-rest-global-styles-controller.php
index 8be3aedd9a862..dba6edf04abe0 100644
--- a/src/wp-includes/rest-api/endpoints/class-wp-rest-global-styles-controller.php
+++ b/src/wp-includes/rest-api/endpoints/class-wp-rest-global-styles-controller.php
@@ -509,26 +509,33 @@ public function get_item_schema() {
 	 * Checks if a given request has access to read a single theme global styles config.
 	 *
 	 * @since 5.9.0
+	 * @since 6.7.0 Allow users with edit post capabilities to view theme global styles.
 	 *
 	 * @param WP_REST_Request $request Full details about the request.
 	 * @return true|WP_Error True if the request has read access for the item, WP_Error object otherwise.
 	 */
 	public function get_theme_item_permissions_check( $request ) {
 		/*
-		 * Verify if the current user has edit_theme_options capability.
-		 * This capability is required to edit/view/delete global styles.
+		 * Verify if the current user has edit_posts capability.
+		 * This capability is required to view global styles.
 		 */
-		if ( ! current_user_can( 'edit_theme_options' ) ) {
-			return new WP_Error(
-				'rest_cannot_manage_global_styles',
-				__( 'Sorry, you are not allowed to access the global styles on this site.' ),
-				array(
-					'status' => rest_authorization_required_code(),
-				)
-			);
+		if ( current_user_can( 'edit_posts' ) ) {
+			return true;
 		}
 
-		return true;
+		foreach ( get_post_types( array( 'show_in_rest' => true ), 'objects' ) as $post_type ) {
+			if ( current_user_can( $post_type->cap->edit_posts ) ) {
+				return true;
+			}
+		}
+
+		return new WP_Error(
+			'rest_cannot_read_global_styles',
+			__( 'Sorry, you are not allowed to access the global styles on this site.', 'gutenberg' ),
+			array(
+				'status' => rest_authorization_required_code(),
+			)
+		);
 	}
 
 	/**
@@ -589,26 +596,13 @@ public function get_theme_item( $request ) {
 	 * Checks if a given request has access to read a single theme global styles config.
 	 *
 	 * @since 6.0.0
+	 * @since 6.7.0 Allow users with edit post capabilities to view theme global styles.
 	 *
 	 * @param WP_REST_Request $request Full details about the request.
 	 * @return true|WP_Error True if the request has read access for the item, WP_Error object otherwise.
 	 */
 	public function get_theme_items_permissions_check( $request ) {
-		/*
-		 * Verify if the current user has edit_theme_options capability.
-		 * This capability is required to edit/view/delete global styles.
-		 */
-		if ( ! current_user_can( 'edit_theme_options' ) ) {
-			return new WP_Error(
-				'rest_cannot_manage_global_styles',
-				__( 'Sorry, you are not allowed to access the global styles on this site.' ),
-				array(
-					'status' => rest_authorization_required_code(),
-				)
-			);
-		}
-
-		return true;
+		return $this->get_theme_item_permissions_check( $request );
 	}
 
 	/**
diff --git a/tests/phpunit/tests/rest-api/rest-global-styles-controller.php b/tests/phpunit/tests/rest-api/rest-global-styles-controller.php
index d4d0aef8e10d2..f4e36abca4065 100644
--- a/tests/phpunit/tests/rest-api/rest-global-styles-controller.php
+++ b/tests/phpunit/tests/rest-api/rest-global-styles-controller.php
@@ -15,7 +15,10 @@ class WP_REST_Global_Styles_Controller_Test extends WP_Test_REST_Controller_Test
 	 * @var int
 	 */
 	protected static $admin_id;
-
+	/**
+	 * @var int
+	 */
+	protected static $editor_id;
 	/**
 	 * @var int
 	 */
@@ -54,6 +57,12 @@ public static function wpSetupBeforeClass( $factory ) {
 			)
 		);
 
+		self::$editor_id = $factory->user->create(
+			array(
+				'role' => 'editor',
+			)
+		);
+
 		self::$subscriber_id = $factory->user->create(
 			array(
 				'role' => 'subscriber',
@@ -264,18 +273,35 @@ public function test_get_theme_item_no_user() {
 		wp_set_current_user( 0 );
 		$request  = new WP_REST_Request( 'GET', '/wp/v2/global-styles/themes/tt1-blocks' );
 		$response = rest_get_server()->dispatch( $request );
-		$this->assertErrorResponse( 'rest_cannot_manage_global_styles', $response, 401 );
+		$this->assertErrorResponse( 'rest_cannot_read_global_styles', $response, 401 );
 	}
 
 	/**
 	 * @covers WP_REST_Global_Styles_Controller::get_theme_item
 	 * @ticket 54516
+	 * @ticket 62042
 	 */
-	public function test_get_theme_item_permission_check() {
+	public function test_get_theme_item_subscriber_permission_check() {
 		wp_set_current_user( self::$subscriber_id );
 		$request  = new WP_REST_Request( 'GET', '/wp/v2/global-styles/themes/tt1-blocks' );
 		$response = rest_get_server()->dispatch( $request );
-		$this->assertErrorResponse( 'rest_cannot_manage_global_styles', $response, 403 );
+		$this->assertErrorResponse( 'rest_cannot_read_global_styles', $response, 403 );
+	}
+
+	/**
+	 * @covers WP_REST_Global_Styles_Controller_Gutenberg::get_theme_item
+	 * @ticket 62042
+	 */
+	public function test_get_theme_item_editor_permission_check() {
+		wp_set_current_user( self::$editor_id );
+		$request  = new WP_REST_Request( 'GET', '/wp/v2/global-styles/themes/tt1-blocks' );
+		$response = rest_get_server()->dispatch( $request );
+		// Checks that the response has the expected keys.
+		$data  = $response->get_data();
+		$links = $response->get_links();
+		$this->assertArrayHasKey( 'settings', $data, 'Data does not have "settings" key' );
+		$this->assertArrayHasKey( 'styles', $data, 'Data does not have "styles" key' );
+		$this->assertArrayHasKey( 'self', $links, 'Links do not have a "self" key' );
 	}
 
 	/**