Preheat the oven to 350 degrees F.
In a mixer with a paddle attachment, combine the sugars, butter and peanut butter. Beat until light and fluffy, about 3 minutes. Add the eggs, one at a time, beating after each addition. Sift together the flour, the baking soda and the salt and add to the dough. Dough should be stiff enough to shape with your hands. Make 1-inch balls and place on a lightly greased cookie sheet. Gently press thumb into the balls to flatten the cookies slightly and make an indentation in the center of the cookie. Press 3 or 4 chocolate chips into the indentation.
Bake for 15 to 20 minutes, or until lightly golden brown. Remove cookies from the oven and transfer to wire racks to cool.
Recipes courtesy Jill Novatt, Food Network Kitchens