Cream butter and sugar until light and fluffy; add eggs, one at a time, beating well.
Mix in the vanilla.
Combine flour, cocoa powder and baking powder; add and mix well.
Wrap dough in waxed paper and chill for 2 hours.
Preheat oven to 350 degrees F (175 degrees C).
Divide dough in half. Roll out each half to 1/4 inch thick.
Cut with desired shaped cookie cutters.
Place on lightly greased cookie sheets and bake for 10-12 minutes.