1. Heat oven to 325 degrees. Have ungreased baking sheet(s) ready. Sift together flour and baking soda.
2. Beat butter and both sugars in large bowl of electric mixer on high speed until light and fluffy, about 2 minutes. Add eggs and vanilla; mix well. Stop the mixer and add peanut butter. Mix on low speed just until combined. Fold in the flour mixture and chocolate chips.
3. Using a scant tablespoon for each, drop cookies onto baking sheet, spacing them 2 inches apart. Bake until lightly browned, 12 to 14 minutes. Transfer to a wire rack to cool.