Hi, you must set the Storyboard.TargetName. Try following demo, check the CheckBox.
<Window x:Class="WpfApp1.Window30"
xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
xmlns:local="clr-namespace:WpfApp30"
xmlns:i="http://schemas.microsoft.com/expression/2010/interactivity"
xmlns:ei="http://schemas.microsoft.com/expression/2010/interactions"
mc:Ignorable="d"
Title="Window30" Height="450" Width="800">
<Window.DataContext>
<local:MainViewModel />
</Window.DataContext>
<Grid>
<Canvas
Name="CanvasWrapper"
Width="525"
Height="350">
<Ellipse x:Name="MyEllipse"
Canvas.Left="10"
Canvas.Top="10"
Width="60"
Height="60"
Fill="Red">
<Ellipse.Resources>
<Storyboard x:Key="Movement">
<DoubleAnimation Storyboard.TargetName="MyEllipse"
Storyboard.TargetProperty="(Canvas.Left)"
To="440"
Duration="0:0:02" />
<DoubleAnimation Storyboard.TargetName="MyEllipse"
Storyboard.TargetProperty="(Canvas.Top)"
To="250"
Duration="0:0:02" />
</Storyboard>
</Ellipse.Resources>
<!-- This trigger works, if you set Storyboard.TargetName -->
<i:Interaction.Triggers>
<ei:DataTrigger Binding="{Binding Move}" Value="true">
<ei:ControlStoryboardAction ControlStoryboardOption="Play" Storyboard="{StaticResource Movement}"/>
</ei:DataTrigger>
</i:Interaction.Triggers>
</Ellipse>
</Canvas>
<CheckBox IsChecked="{Binding Move, Mode=TwoWay}"/>
</Grid>
</Window>