Preheat oven to 350.
Line baking sheet with parchment paper or non-stick cooking mat. Set aside.
In a large bowl cream together butter and sugars.
Mix in egg and vanilla extract. Set aside.
In a medium bowl whisk together flour, baking soda, salt and cocoa powder.
Add dry mixture into wet mixture. Stirring slowly until dry mixture is completely incorporated.
Add semi-sweet chocolate chips and about 1/2 cup of peanut butter morsels.
Use a mini ice cream scoop to scoop dough out and place onto prepared pans about 1 1/2 inches apart.
Press several peanut butter morsels into each dough ball.
Bake for 7-8 minutes. Cookies will not be done.
Remove from oven and leave cookies on cookie sheet to finish cooking.
When pan is warm, place cookies on a cooling rack to finish cooling.