diff --git a/config/src/keyassignment.rs b/config/src/keyassignment.rs
index ff7fca0e7..31eb8cff7 100644
--- a/config/src/keyassignment.rs
+++ b/config/src/keyassignment.rs
@@ -160,6 +160,7 @@ pub enum KeyAssignment {
     PastePrimarySelection,
     PasteFrom(ClipboardPasteSource),
     ActivateTabRelative(isize),
+    ActivateTabRelativeNoWrap(isize),
     IncreaseFontSize,
     DecreaseFontSize,
     ResetFontSize,
diff --git a/docs/changelog.md b/docs/changelog.md
index c07e30fab..7e64d2fd8 100644
--- a/docs/changelog.md
+++ b/docs/changelog.md
@@ -19,6 +19,7 @@ As features stabilize some brief notes about them will accumulate here.
 * [default_gui_startup_args](config/lua/config/default_gui_startup_args.md) allows defaulting to starting the ssh client (for example). [#1030](https://github.com/wez/wezterm/issues/1030)
 * [mux-is-process-stateful](config/lua/mux-events/mux-is-process-stateful.md) event for finer control over prompting when closing panes. [#1412](https://github.com/wez/wezterm/issues/1412)
 * [harfbuzz_features](config/font-shaping.md), [freetype_load_target](config/lua/config/freetype_load_target.md), [freetype_render_target](config/lua/config/freetype_render_target.md) and [freetype_load_flags](config/lua/config/freetype_load_flags.md) can now be overridden on a per-font basis as described in [wezterm.font](config/lua/wezterm/font.md) and [wezterm.font_with_fallback](config/lua/wezterm/font_with_fallback.md).
+* [ActivateTabRelativeNoWrap](config/lua/keyassignment/ActivateTabRelativeNoWrap.md) key assignment [#1414](https://github.com/wez/wezterm/issues/1414)
 
 #### Changed
 
diff --git a/docs/config/lua/keyassignment/ActivateTabRelative.md b/docs/config/lua/keyassignment/ActivateTabRelative.md
index 6f600bc45..455cccff3 100644
--- a/docs/config/lua/keyassignment/ActivateTabRelative.md
+++ b/docs/config/lua/keyassignment/ActivateTabRelative.md
@@ -8,10 +8,12 @@ activates the tab to the right.
 local wezterm = require 'wezterm';
 return {
   keys = {
-    {key="{", mods="SHIFT|ALT", action=wezterm.action{ActivateTabRelative=-1}},
-    {key="}", mods="SHIFT|ALT", action=wezterm.action{ActivateTabRelative=1}},
+    {key="{", mods="ALT", action=wezterm.action{ActivateTabRelative=-1}},
+    {key="}", mods="ALT", action=wezterm.action{ActivateTabRelative=1}},
   }
 }
 ```
 
+See also [ActivateTabRelativeNoWrap](ActivateTabRelativeNoWrap.md)
+
 
diff --git a/docs/config/lua/keyassignment/ActivateTabRelativeNoWrap.md b/docs/config/lua/keyassignment/ActivateTabRelativeNoWrap.md
new file mode 100644
index 000000000..8ca82fc41
--- /dev/null
+++ b/docs/config/lua/keyassignment/ActivateTabRelativeNoWrap.md
@@ -0,0 +1,24 @@
+# ActivateTabRelativeNoWrap
+
+*Since: nightly builds only*
+
+Activate a tab relative to the current tab.  The argument value specifies an
+offset. eg: `-1` activates the tab to the left of the current tab, while `1`
+activates the tab to the right.
+
+This is almost identical to [ActivateTabRelative](ActivateTabRelative.md)
+but this one will not wrap around; for example, if the first tab is active
+`ActivateTabRelativeNoWrap=-1` will not move to the last tab and vice versa.
+
+
+```lua
+local wezterm = require 'wezterm';
+return {
+  keys = {
+    {key="{", mods="ALT", action=wezterm.action{ActivateTabRelativeNoWrap=-1}},
+    {key="}", mods="ALT", action=wezterm.action{ActivateTabRelativeNoWrap=1}},
+  }
+}
+```
+
+
diff --git a/wezterm-gui/src/termwindow/mod.rs b/wezterm-gui/src/termwindow/mod.rs
index a51331a70..ff58aaa9d 100644
--- a/wezterm-gui/src/termwindow/mod.rs
+++ b/wezterm-gui/src/termwindow/mod.rs
@@ -1502,7 +1502,7 @@ impl TermWindow {
         Ok(())
     }
 
-    fn activate_tab_relative(&mut self, delta: isize) -> anyhow::Result<()> {
+    fn activate_tab_relative(&mut self, delta: isize, wrap: bool) -> anyhow::Result<()> {
         let mux = Mux::get().unwrap();
         let window = mux
             .get_window(self.mux_window_id)
@@ -1513,9 +1513,20 @@ impl TermWindow {
 
         let active = window.get_active_idx() as isize;
         let tab = active + delta;
-        let tab = if tab < 0 { max as isize + tab } else { tab };
+        let tab = if wrap {
+            let tab = if tab < 0 { max as isize + tab } else { tab };
+            (tab as usize % max) as isize
+        } else {
+            if tab < 0 {
+                0
+            } else if tab >= max as isize {
+                max as isize - 1
+            } else {
+                tab
+            }
+        };
         drop(window);
-        self.activate_tab((tab as usize % max) as isize)
+        self.activate_tab(tab)
     }
 
     fn activate_last_tab(&mut self) -> anyhow::Result<()> {
@@ -1833,7 +1844,10 @@ impl TermWindow {
                 self.paste_from_clipboard(pane, *source);
             }
             ActivateTabRelative(n) => {
-                self.activate_tab_relative(*n)?;
+                self.activate_tab_relative(*n, true)?;
+            }
+            ActivateTabRelativeNoWrap(n) => {
+                self.activate_tab_relative(*n, false)?;
             }
             ActivateLastTab => self.activate_last_tab()?,
             DecreaseFontSize => {
@@ -2108,7 +2122,7 @@ impl TermWindow {
             drop(win);
             mux.remove_tab(tab.tab_id());
         }
-        self.activate_tab_relative(0)
+        self.activate_tab_relative(0, true)
     }
 
     pub fn pane_state(&self, pane_id: PaneId) -> RefMut<PaneState> {