diff --git a/meld/accelerators.py b/meld/accelerators.py
index ad116e06..d3030250 100644
--- a/meld/accelerators.py
+++ b/meld/accelerators.py
@@ -12,10 +12,10 @@ VIEW_ACCELERATORS: Dict[str, Union[str, Sequence[str]]] = {
     'view.go-to-line': '<Primary>I',
     # Overridden in CSS
     'view.next-change': ('<Alt>Down', '<Alt>KP_Down', '<Primary>D'),
-    'view.next-pane': '<Alt>Page_Down',
+    'view.next-pane': ('<Alt>Page_Down', '<Primary>Tab'),
     # Overridden in CSS
     'view.previous-change': ('<Alt>Up', '<Alt>KP_Up', '<Primary>E'),
-    'view.previous-pane': '<Alt>Page_Up',
+    'view.previous-pane': ('<Alt>Page_Up', '<Shift><Primary>Tab'),
     'view.redo': '<Primary><Shift>Z',
     'view.refresh': ('<control>R', 'F5'),
     'view.save': '<Primary>S',
diff --git a/meld/resources/meld.css b/meld/resources/meld.css
index 7ec8e70a..04e1f81a 100644
--- a/meld/resources/meld.css
+++ b/meld/resources/meld.css
@@ -34,6 +34,15 @@ action-gutter {
     background-color: @theme_bg_color;
 }
 
+@binding-set UnbindFocusBindings {
+    unbind "<Ctrl>Tab";
+    unbind "<Ctrl><Shift>Tab";
+}
+
+* {
+    -gtk-key-bindings: UnbindFocusBindings;
+}
+
 @binding-set ChunkMovementBindings {
     /* Gdk.ScrollDirection.UP */
     bind "<Alt>Up" { "move-diff" (0) };