How to center the content of cells in a data grid?

The following code will center the contents of cells in DataGrid:

<Style TargetType="DataGridCell">
    <Setter Property="TextBlock.TextAlignment" Value="Center" />
</Style>

use ElementStyle

 <DataGridTextColumn ElementStyle="{StaticResource Centering}"/>

  <Style x:Key="Centering" TargetType="{x:Type TextBlock}">
       <Setter Property="HorizontalAlignment" Value="Center" />
  </Style>

Final solution:

<Style x:Key="DataGridContentCellCentering" TargetType="{x:Type DataGridCell}">
    <Setter Property="Template">
        <Setter.Value>
            <ControlTemplate TargetType="{x:Type DataGridCell}">
                <Grid Background="{TemplateBinding Background}">
                    <ContentPresenter VerticalAlignment="Center" />
                </Grid>
            </ControlTemplate>
        </Setter.Value>
    </Setter>
</Style>