how to set the width of TextBox to the width of parent?

You try something like to set the textbox to the width of the parent and use a margin for your subtraction

 <TextBox HorizontalAlignment="Stretch" Margin="0,0,20,0"

You could try to set MaxWidth for TextBox.

<ListView Grid.Column="0" x:Name="ContactListView" ItemsSource="{Binding View}">  
            <ListView.ItemTemplate>  
                <DataTemplate x:Name="SingleLineDataTemplate" >  
                    <StackPanel Orientation="Horizontal" Height="44" >  
                        <Image Source="spring.jpg" Height="16" Width="16" VerticalAlignment="Center"/>  
                        <TextBox Text="{Binding Text}" Padding="1" MaxWidth="300" TextWrapping="Wrap" VerticalAlignment="Center" Margin="12,0,0,0"/>  
                    </StackPanel>  
                </DataTemplate>  
            </ListView.ItemTemplate>  
  </ListView>  

Update:

<Grid x:Name="grid">  
        <Grid.ColumnDefinitions>  
            <ColumnDefinition />  
            <ColumnDefinition Width="90" />  
        </Grid.ColumnDefinitions>  
        <ListView Grid.Column="0" x:Name="ContactListView" Width="{Binding  Path=ActualWidth, ElementName=grid, Converter={local:PercentageConverter}, ConverterParameter='0.7'}" ItemsSource="{Binding View}" >  
            <ListView.ItemTemplate>  
                <DataTemplate>  
                    <StackPanel  Orientation="Horizontal" >  
                        <Image  Width="15" Source="spring.jpg" />  
                        <Border x:Name="b"  BorderThickness="2"  BorderBrush="Gray" Height="50" >  
                            <TextBox Text="{Binding Text}" TextWrapping="Wrap"   
                                     Width="{Binding  Path=ActualWidth, ElementName=ContactListView, Converter={local:PercentageConverter}, ConverterParameter='0.9'}"/>  
                        </Border>  
                    </StackPanel>  
                </DataTemplate>  
            </ListView.ItemTemplate>  
        </ListView>  
    </Grid>  
  
 public class PercentageConverter : MarkupExtension, IValueConverter  
  {  
    private static PercentageConverter _instance;  
  
    #region IValueConverter Members  
  
    public object Convert(object value, Type targetType, object parameter, CultureInfo culture)  
    {  
      return System.Convert.ToDouble(value) * System.Convert.ToDouble(parameter);  
    }  
    public object ConvertBack(object value, Type targetType, object parameter, CultureInfo culture)  
    {  
      throw new NotImplementedException();  
    }  
  
    #endregion  
  
    public override object ProvideValue(IServiceProvider serviceProvider)  
    {  
      return _instance ?? (_instance = new PercentageConverter());  
    }  
  }  

The result:

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Hi, I tried your code. I still have the same problem. The TextBox goes over the edge of the ListView

Hi Sarah,
I think is better to use ItemContainerStyle like this:

<ListView ItemsSource="{Binding View}" 
          Margin="5"
          HorizontalContentAlignment="Stretch"
          ScrollViewer.HorizontalScrollBarVisibility="Disabled">
  <ListView.ItemTemplate>
    <DataTemplate>
      <Grid>
        <Grid.ColumnDefinitions>
          <ColumnDefinition Width="35"/>
          <ColumnDefinition/>
        </Grid.ColumnDefinitions>
        <Image Grid.Column="0" 
               Width="15" 
               Height="15" 
               Source="images/Paint.png" />
        <Border x:Name="b" 
                Grid.Column="1" 
                Margin="5">
        <TextBox Grid.Column="1" 
                 Text="{Binding Text}" 
                 TextWrapping="Wrap" 
                 Width="{Binding ActualWidth, ElementName=b}"/>
        </Border>
      </Grid>
    </DataTemplate>
  </ListView.ItemTemplate>
  <ListView.ItemContainerStyle>
    <Style TargetType="{x:Type ListViewItem}">
      <Setter Property="BorderBrush" Value="CadetBlue" />
      <Setter Property="BorderThickness" Value="0,2,0,2" />
      <Setter Property="Margin" Value="0,5,0,5" />
    </Style>
  </ListView.ItemContainerStyle>
</ListView>