Preheat oven at 375F. Line baking sheet with parchment paper or a silpat.
Cream together sugar, brown sugar and butter. Add eggs, peanut butter and vanilla extract. Sift flour and baking soda together and add to the butter egg mixture.
Once well incorporated, form into ball, one inch apart on a baking sheet and flatten with the back of a fork making a crisscross pattern. Bake 10 minutes. The edges should start to brown and the middle still a b it firm.