Mix or stir butter with peanut butter until smooth. Add brown sugar and granulated sugar and mix until creamy.
Beat in vanilla, egg, baking soda, and salt. Mix in flour slowly until cookie dough forms. Stir in chocolate chips.
Scoop 2 tablespoon sized cookie dough balls onto cookie sheets covered with parchment paper or silicone baking mats. Press cookie dough balls flat with the tines of a fork. Chill 30 minutes.
Preheat oven to 350°F.
Bake cookies for 8-12 minutes, or until slightly brown on the bottom and the top just loses the wet cookie dough look.
Store in an airtight container for up to 3 days or freeze for up to one month.
Video
Notes
Note: if you make this with softened butter and not melted, you do not need to chill the dough.