i just wanted to bind data trigger with chkbox

I think you need trigger (style trigger on the textbox itself) . Try running below code in one of your test form.

"textBox" HorizontalAlignment="Left" Height="23" Margin="82,78,0,0" TextWrapping="Wrap" Text="TextBox" VerticalAlignment="Top" Width="120">
"TextBox">
"{Binding ElementName=chkBox, Path=IsChecked}" Value="True">
"Foreground" Value="Red" />
"FontWeight" Value="Bold" />
"chkBox" Content="CheckBox" HorizontalAlignment="Left" Margin="82,57,0,0" VerticalAlignment="Top">

Please mark it as an answer if it address the issue.