Preheat oven to 375 degrees. Line a baking sheet with parchment paper (or leave ungreased).
Use an electric hand mixer to combine the softened butter and peanut butter in a large mixing bowl until smooth and creamy. Add sugars and beat for a minute or two until well incorporated. Add egg and vanilla and mix until smooth.
In a separate smaller bowl, combine flour, baking soda and salt. Add the dry mixture to the peanut butter mixture in increments, beating just until combined after each addition. Use a wooden spoon to mix in chocolate chips.
Transfer the bowl to the refrigerator and chill dough for 30 minutes.
Scoop out a heaping tablespoon full of dough and use your fingers to form it into a ball. Place dough about 2" apart on lined or ungreased baking sheet.
Bake for 10-12 minutes until edges are golden brown. Remove from oven and allow to cool on cookie sheet for about 5 minutes and then transfer to wire rack to cool completely.
Store in an airtight container.