How do you make a WPF slider snap only to discrete integer positions?

The simple answer is that you take advantage of the IsSnapToTickEnabled and TickFrequency properties. That is, turn snapping to ticks on and set the tick frequency to 1.

Or, in other words … take advantage of ticks … but you don’t necessarily have to show the ticks that you are snapping to.

Check out the following piece of xaml:

<Slider
    Orientation="Vertical"
    Height="200"
    Minimum="0"
    Maximum="10"
    Value="0"
    IsSnapToTickEnabled="True"
    TickFrequency="1"
/>