diff --git a/include/wx/gtk/radiobut.h b/include/wx/gtk/radiobut.h
index 8f39ea11fc..21d7a4b7f8 100644
--- a/include/wx/gtk/radiobut.h
+++ b/include/wx/gtk/radiobut.h
@@ -55,6 +55,8 @@ protected:
 
 private:
     typedef wxControl base_type;
+    // Only used by wxRB_SINGLE
+    GtkWidget* m_hiddenButton = nullptr;
 
     wxDECLARE_DYNAMIC_CLASS(wxRadioButton);
 };
diff --git a/interface/wx/radiobut.h b/interface/wx/radiobut.h
index 59515ac3c6..b614199165 100644
--- a/interface/wx/radiobut.h
+++ b/interface/wx/radiobut.h
@@ -33,9 +33,10 @@
            When this style is used, no other radio buttons will be turned off
            automatically when this button is turned on and such behaviour will
            need to be implemented manually, in the event handler for this
-           button. This style is currently only supported in wxMSW, in the
-           other ports it can be specified, but single radio buttons can't be
-           turned off, making them not very useful.
+           button. This style is currently only supported in wxMSW and wxGTK
+           (since version 3.3.0). In the other ports it can be specified, but
+           single radio buttons can't be turned off, making them not very
+           useful.
     @endStyleTable
 
     @beginEventEmissionTable{wxCommandEvent}
diff --git a/src/gtk/radiobut.cpp b/src/gtk/radiobut.cpp
index 604a699a25..4632941210 100644
--- a/src/gtk/radiobut.cpp
+++ b/src/gtk/radiobut.cpp
@@ -92,7 +92,22 @@ bool wxRadioButton::Create( wxWindow *parent,
         }
     }
 
-    m_widget = gtk_radio_button_new_with_label( radioButtonGroup, label.utf8_str() );
+    // GTK does not allow a radio button to be inactive if it is the only radio
+    // button in its group, so we need to work around this by creating a second
+    // hidden radio button.
+    if (HasFlag(wxRB_SINGLE))
+    {
+        m_hiddenButton = gtk_radio_button_new( nullptr );
+        m_widget = gtk_radio_button_new_with_label_from_widget( GTK_RADIO_BUTTON(m_hiddenButton), label.utf8_str() );
+        // Since this is the second button in the group, we need to ensure it
+        // is active by default and not the first hidden one.
+        gtk_toggle_button_set_active( GTK_TOGGLE_BUTTON(m_widget), TRUE );
+    }
+    else
+    {
+        m_widget = gtk_radio_button_new_with_label( radioButtonGroup, label.utf8_str() );
+    }
+
     g_object_ref(m_widget);
 
     SetLabel(label);
@@ -133,9 +148,12 @@ void wxRadioButton::SetValue( bool val )
     }
     else
     {
-        // should give an assert
-        // RL - No it shouldn't.  A wxGenericValidator might try to set it
-        //      as FALSE.  Failing silently is probably TRTTD here.
+        // Normal radio buttons can only be turned off by turning on another
+        // button in the same group, but the single ones can be turned off
+        // manually, which is implemented by turning a hidden button on, as
+        // it's the only way to do it with GTK.
+        if (HasFlag(wxRB_SINGLE))
+            gtk_toggle_button_set_active( GTK_TOGGLE_BUTTON(m_hiddenButton), TRUE );
     }
 
     g_signal_handlers_unblock_by_func(