I want to style my ListBox and displaying some Border around it, i want to hide this Border when ListBox gets focus,

<Trigger Property="IsFocused" Value="True">
  <Setter Property="Visibility" TargetName="border" Value="Collapsed"/>
</Trigger>

Same thing i m using in TextBox also and it is working properly, why this Trigger not working for ListBox?

Edit:

i am having this Style for my ListBox

<ControlTemplate TargetType="{x:Type local:ListBox}">
  <Border SnapsToDevicePixels="true" x:Name="Bd" CornerRadius="5" Background="{TemplateBinding Background}" BorderBrush="{TemplateBinding BorderBrush}" BorderThickness="{TemplateBinding BorderThickness}" Padding="1">
    <Grid>
      <local:ScrollViewer Focusable="false" Padding="{TemplateBinding Padding}">
        <ItemsPresenter SnapsToDevicePixels="{TemplateBinding SnapsToDevicePixels}"/>
      </local:ScrollViewer>
      <Border CornerRadius="5" Background="Red" x:Name="border">
        <TextBlock VerticalAlignment="Center" FontWeight="Bold" Foreground="White" Text="{TemplateBinding Message}" FontFamily="Courier New" />
      </Border>
    </Grid>
  </Border>
</DockPanel>
<ControlTemplate.Triggers>
  <Trigger Property="IsFocused" Value="True">
    <Setter Property="Visibility" TargetName="border" Value="Collapsed"/>
  </Trigger>
  <Trigger Property="IsEnabled" Value="false">
    <Setter Property="Background" TargetName="Bd" Value="{DynamicResource {x:Static SystemColors.ControlBrushKey}}"/>
  </Trigger>
  <Trigger Property="IsGrouping" Value="true">
    <Setter Property="ScrollViewer.CanContentScroll" Value="false"/>
  </Trigger>
</ControlTemplate.Triggers>