Preheat the oven to 350°F (175°C). Grease a 9×13 inch baking pan.
In a large bowl, cream together the softened butter, creamy peanut butter, granulated sugar, and brown sugar until smooth.
Add the eggs one at a time, mixing well after each addition. Stir in the vanilla extract.
In a separate bowl, whisk together the flour, baking powder, and salt.
Gradually add the dry ingredients to the peanut butter mixture, mixing until just combined.
Fold in the chocolate chips until evenly distributed.
Spread the batter evenly in the prepared baking pan.
Bake in the preheated oven for 25-30 minutes or until the edges are golden and a toothpick inserted into the center comes out clean.
Allow to cool in the pan before cutting into squares and serving.