Preheat the oven to 350°F (175°C) and grease a 9×13 baking pan.
Mix the cake batter by combining cake mix, lemon pudding, oil, water, and beaten eggs in a large bowl. Blend until smooth.
Bake for 30–35 minutes, or until a toothpick comes out clean.
Prepare the glaze while the cake bakes by whisking powdered sugar, melted butter, lemon juice, and water until smooth.
Poke holes all over the warm cake using the handle of a wooden spoon.
Pour glaze evenly over the cake, letting it soak in fully.
Cool slightly before serving for the best texture and flavor.