There are several properties that may be used to set position of a popup control in WPF.
The HorizontalOffset, VerticalOffset, Placement, and PlacementTarget are some of them.
<Popup Name="myPopup"
PlacementRectangle="0,0,30,50"
VerticalOffset="20"
HorizontalOffset="20"
Placement="Bottom"
PopupAnimation="Fade"
AllowsTransparency="True">
<TextBlock Name="PopupContent"
Background="Beige"
FontSize="12"
Width="75"
TextWrapping="Wrap">
Popup Text
</TextBlock>
</Popup>