How can I provide multiple conditions for data trigger in WPF?

Use MultiDataTrigger type

<Style TargetType="ListBoxItem">
    <Style.Triggers>
      <DataTrigger Binding="{Binding Path=State}" Value="WA">
        <Setter Property="Foreground" Value="Red" />
      </DataTrigger>    
      <MultiDataTrigger>
        <MultiDataTrigger.Conditions>
          <Condition Binding="{Binding Path=Name}" Value="Portland" />
          <Condition Binding="{Binding Path=State}" Value="OR" />
        </MultiDataTrigger.Conditions>
        <Setter Property="Background" Value="Cyan" />
      </MultiDataTrigger>
    </Style.Triggers>
  </Style>

@jasonk - if you want to have "or" then negate all conditions since (A and B) <=> ~(~A or ~B)

but if you have values other than boolean try using type converters:

<MultiDataTrigger.Conditions>
    <Condition Value="True">
        <Condition.Binding>
            <MultiBinding Converter="{StaticResource conditionConverter}">
                <Binding Path="Name" />
                <Binding Path="State" />
            </MultiBinding>
        </Condition.Binding>
        <Setter Property="Background" Value="Cyan" />
    </Condition>
</MultiDataTrigger.Conditions>

you can use the values in Convert method any way you like to produce a condition which suits you.

THIS ANSWER IS FOR ANIMATIONS ONLY


If you wanna implement the AND logic, you should use MultiTrigger, here is an example:

Suppose we want to do some actions if the property Text="" (empty string) AND IsKeyboardFocused="False", then your code should look like the following:

<MultiTrigger>
    <MultiTrigger.Conditions>
        <Condition Property="Text" Value="" />
        <Condition Property="IsKeyboardFocused" Value="False" />
    </MultiTrigger.Conditions>
        <MultiTrigger.EnterActions>
            <!-- Your actions here -->
        </MultiTrigger.EnterActions>
</MultiTrigger>

If you wanna implement the OR logic, there are couple of ways, and it depends on what you try to do:

The first option is to use multiple Triggers.
So, suppose you wanna do something if either Text="" OR IsKeyboardFocused="False",
then your code should look something like this:

<Trigger Property="IsEnabled" Value="false">
    <Setter Property="Opacity" TargetName="border" Value="0.56"/>
</Trigger>
<Trigger Property="IsMouseOver" Value="true">
    <Setter Property="BorderBrush" TargetName="border" 
            Value="{StaticResource TextBox.MouseOver.Border}"/>
</Trigger>

But the problem in this is what will I do if i wanna do something if either Text ISN'T null OR IsKeyboard="True"? This can be achieved by the second approach:
Recall De Morgan's rule, that says !(!x && !y) = x || y.
So we'll use it to solve the previous problem, by writing a multi trigger that it's triggered when Text="" and IsKeyboard="True", and we'll do our actions in EXIT ACTIONS, like this:

<MultiTrigger>
    <MultiTrigger.Conditions>
        <Condition Property="Text" Value="" />
        <Condition Property="IsKeyboardFocused" Value="False" />
    </MultiTrigger.Conditions>
    <MultiTrigger.ExitActions>
        <!-- Do something here -->
    </MultiTrigger.ExitActions>
</MultiTrigger>