I asked it's already on WinRT XAML Toolkit discussion and author of that toolkit Filip Skakun answered:
That's right. It seems to be a limitation of this property. We would need to create a different one to support two way binding. Something like an "IsSelectedBinding" property using the pattern I described here: http://blog.onedevjob.com/2011/10/26/workaround-for-binding-not-supported-on-stylesettervalue-in-silverlight/ Maybe when I get a chance I will add that to the toolkit.
And I solve my problem with using Clemens answer.
It looks like:
public class MyListBox : ListBox
{
protected override void PrepareContainerForItemOverride(
DependencyObject element, object item)
{
base.PrepareContainerForItemOverride(element, item);
if (item is Item)
{
var binding = new Binding
{
Source = item,
Path = new PropertyPath("IsSelected"),
Mode = BindingMode.TwoWay
};
((ListBoxItem)element).SetBinding(ListBoxItem.IsSelectedProperty, binding);
}
}
}