Use DependencyProperty in the Style

I have TemplatedControl with Dependency Property:

public static readonly DependencyProperty ColorProperty = DependencyProperty.Register(
            "Color", typeof(SolidColorBrush), typeof(MenuButton), new PropertyMetadata(default(SolidColorBrush)));

public SolidColorBrush Color
{
   get { return (SolidColorBrush)GetValue(ColorProperty); }
   set { SetValue(ColorProperty, value); }
}

In the style I want to use this property to set Background. I tried:

<Style TargetType="controls:MenuButton" x:Name="MenuButtonSimple">
   <Setter Property="Background" Value="{Binding Color, RelativeSource={RelativeSource Mode=TemplatedParent}}"/>

and

<Style TargetType="controls:MenuButton" x:Name="MenuButtonSimple">
   <Setter Property="Background" Value="{TemplateBinding Color}"/>

but it doesn't work.

If I set fixed color in the template - it works:

<Style TargetType="controls:MenuButton" x:Name="MenuButtonSimple">
   <Setter Property="Background" Value="667788"/>

How can I use dependency property (Color) in the style ?