Preheat oven to 350 degrees F. Grease bottom and sides of two 9-inch round cake pans.
Prepare brownie mix according to package directions for cake-like brownies; pour into prepared pans. A baking tip to get the brownies out of the pan easier is to put a circle of parchment paper on bottom of pan.
Bake 20 to 25 minutes or until top springs back when touched. Cool 10 minutes. Remove from pans; cool completely.
Meanwhile, stir pudding mix and milk in medium bowl; mix well. Chill 5 minutes or until thickens. Fold in whipped topping. Chill. To serve, place one brownie layer on plate. Top with half each of pudding mixture and strawberries. Repeat. Garnish as desired.