MainWindow.xaml

<Window x:Class="CefSharpInListBox.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:wpf="clr-namespace:CefSharp.Wpf;assembly=CefSharp.Wpf"
        Title="MainWindow" Height="350" Width="525">
    <Grid>
        <TabControl>
            <TabItem Header="IExplorer">
                <WebBrowser Source="http://www.google.com/" />
            </TabItem>
            <TabItem Header="Chrome">
                <wpf:ChromiumWebBrowser Address="http://www.google.com/" />
            </TabItem>
            <Control.Template>
                <ControlTemplate TargetType="TabControl">
                    <DockPanel>
                        <TabPanel IsItemsHost="True"
                              DockPanel.Dock="{TemplateBinding TabStripPlacement}" />
                        <ListBox ItemsSource="{Binding RelativeSource={RelativeSource TemplatedParent}, Path=Items}"
                             SelectedIndex="{TemplateBinding SelectedIndex}">
                            <ItemsControl.ItemsPanel>
                                <ItemsPanelTemplate>
                                    <Grid />
                                </ItemsPanelTemplate>
                            </ItemsControl.ItemsPanel>
                            <ItemsControl.ItemContainerStyle>
                                <Style TargetType="ListBoxItem">
                                    <Setter Property="Template">
                                        <Setter.Value>
                                            <ControlTemplate TargetType="ListBoxItem">
                                                <ContentPresenter Content="{Binding Content}"
                                                              ContentTemplate="{Binding ContentTemplate}"
                                                              ContentTemplateSelector="{Binding ContentTemplateSelector}" />
                                            </ControlTemplate>
                                        </Setter.Value>
                                    </Setter>
                                    <Setter Property="Visibility"
                                        Value="Hidden" />
                                    <Style.Triggers>
                                        <Trigger Property="IsSelected"
                                             Value="True">
                                            <Setter Property="Visibility"
                                                Value="Visible" />
                                        </Trigger>
                                    </Style.Triggers>
                                </Style>
                            </ItemsControl.ItemContainerStyle>
                        </ListBox>
                    </DockPanel>
                </ControlTemplate>
            </Control.Template>
        </TabControl>
    </Grid>
</Window>