diff --git a/src/js/_enqueues/admin/postbox.js b/src/js/_enqueues/admin/postbox.js
index a309929d37..b94cadaa3d 100644
--- a/src/js/_enqueues/admin/postbox.js
+++ b/src/js/_enqueues/admin/postbox.js
@@ -203,16 +203,30 @@
 		 * @return {void}
 		 */
 		updateOrderButtonsProperties: function() {
-			var firstSortablesId = $( '.meta-box-sortables:first' ).attr( 'id' ),
-				lastSortablesId = $( '.meta-box-sortables:last' ).attr( 'id' ),
+			var firstSortablesId = $( '.meta-box-sortables:visible:first' ).attr( 'id' ),
+				lastSortablesId = $( '.meta-box-sortables:visible:last' ).attr( 'id' ),
 				firstPostbox = $( '.postbox:visible:first' ),
 				lastPostbox = $( '.postbox:visible:last' ),
+				firstPostboxId = firstPostbox.attr( 'id' ),
+				lastPostboxId = lastPostbox.attr( 'id' ),
 				firstPostboxSortablesId = firstPostbox.closest( '.meta-box-sortables' ).attr( 'id' ),
-				lastPostboxSortablesId = lastPostbox.closest( '.meta-box-sortables' ).attr( 'id' );
+				lastPostboxSortablesId = lastPostbox.closest( '.meta-box-sortables' ).attr( 'id' ),
+				moveUpButtons = $( '.handle-order-higher' ),
+				moveDownButtons = $( '.handle-order-lower' );
 
 			// Enable all buttons as a reset first.
-			$( '.handle-order-higher' ).attr( 'aria-disabled', 'false' );
-			$( '.handle-order-lower' ).attr( 'aria-disabled', 'false' );
+			moveUpButtons
+				.attr( 'aria-disabled', 'false' )
+				.removeClass( 'hidden' );
+			moveDownButtons
+				.attr( 'aria-disabled', 'false' )
+				.removeClass( 'hidden' );
+
+			// When there's only one "sortables" area (e.g. in the block editor) and only one visible postbox, hide the buttons.
+			if ( firstSortablesId === lastSortablesId && firstPostboxId === lastPostboxId ) {
+				moveUpButtons.addClass( 'hidden' );
+				moveDownButtons.addClass( 'hidden' );
+			}
 
 			// Set an aria-disabled=true attribute on the first visible "move" buttons.
 			if ( firstSortablesId === firstPostboxSortablesId ) {
diff --git a/src/wp-admin/css/common.css b/src/wp-admin/css/common.css
index 7064e2c70e..0d1bd2937d 100644
--- a/src/wp-admin/css/common.css
+++ b/src/wp-admin/css/common.css
@@ -2011,6 +2011,7 @@ html.wp-toolbar {
 	flex-shrink: 0;
 }
 
+/* Post box order and toggle buttons. */
 .postbox .handle-order-higher,
 .postbox .handle-order-lower,
 .postbox .handlediv {
@@ -2028,6 +2029,14 @@ html.wp-toolbar {
 	color: #72777c;
 }
 
+/* Post box order buttons in the block editor meta boxes area. */
+.edit-post-meta-boxes-area .postbox .handle-order-higher,
+.edit-post-meta-boxes-area .postbox .handle-order-lower {
+	width: 44px;
+	height: 44px;
+	color: #191e23
+}
+
 .postbox .handle-order-higher[aria-disabled="true"],
 .postbox .handle-order-lower[aria-disabled="true"] {
 	cursor: default;