In a large bowl with electric mixer, beat together butter, brown sugar, and white sugar until creamy, about 2 minutes.
Add the peanut butter, eggs, and vanilla, beating until combined, about 2 more minutes.
Mix in flour, baking soda, salt, and oats, mixing until combined.
Cover the bowl and let it chill in the refrigerator for 1 hour.
Preheat oven to 350 degrees F.
Form into 2 tablespoon sized cookie dough balls.
Bake in preheated oven for 8-10 minutes, until golden on outside and still soft on inside. Be careful not to overbake!
Let cool for 5 minutes on baking pan and then transfer to cooling rack to cool completely.
Enjoy!