Preheat oven to 350 degrees F. Line two baking sheets with parchment paper and set aside.
Whisk together the flour, baking soda and salt; set aside.
On medium speed, cream together the butter, peanut butter, granulated sugar, brown sugar and vanilla extract, about 3 minutes. Add the egg and beat to combine. On low speed, gradually add the flour until just combined. Stir in the oats, and then the chocolate chips.
Use a large cookie scoop (3 tablespoons) and drop dough onto prepared baking sheets about 2 inches apart. Bake for 10 minutes, or until the cookies are lightly golden. Cool completely on the baking sheet and then store in an airtight container at room temperature.