diff --git a/gui/mainFrame.py b/gui/mainFrame.py
index a935dc2a1..c98218c43 100644
--- a/gui/mainFrame.py
+++ b/gui/mainFrame.py
@@ -114,6 +114,12 @@ class MainFrame(wx.Frame):
         tab, _ = self.notebookBrowsers.HitTest(event.Position)
         if tab != -1:
             self.notebookBrowsers.SetSelection(tab)
+            
+    def CloseCurrentFit(self, evt):
+        self.fitMultiSwitch.removeTab(self.fitMultiSwitch.GetSelection())
+        #Deleting a tab might have put us on the "+" tab, make sure we don't stay there
+        if self.fitMultiSwitch.GetSelection() == self.fitMultiSwitch.GetPageCount() - 1:
+            self.fitMultiSwitch.SetSelection(self.fitMultiSwitch.GetPageCount() - 2)
 
     def ExitApp(self, evt):
         try:
@@ -163,6 +169,8 @@ class MainFrame(wx.Frame):
         menuBar = self.GetMenuBar()
         # Quit
         self.Bind(wx.EVT_MENU, self.ExitApp, id=wx.ID_EXIT)
+        # Close Tab
+        self.Bind(wx.EVT_MENU, self.CloseCurrentFit, id=wx.ID_CLOSE)
         # Widgets Inspector
         self.Bind(wx.EVT_MENU, self.openWXInspectTool, id=911)
         # About
diff --git a/gui/mainMenuBar.py b/gui/mainMenuBar.py
index 129944ab8..5c827a310 100644
--- a/gui/mainMenuBar.py
+++ b/gui/mainMenuBar.py
@@ -32,6 +32,7 @@ class MainMenuBar(wx.MenuBar):
         # File menu
         fileMenu = wx.Menu()
         self.Append(fileMenu, "&File")
+        fileMenu.Append(wx.ID_CLOSE)
         fileMenu.Append(wx.ID_EXIT)