In a large bowl, combine butter with peanut butter until smooth. Add in the powdered sugar, mix until it is fully combined.
Roll the mixture into balls, and place one mini peanut butter cup in each ball, covering it completely. Place onto a large plate. Freeze for at least 20 minutes.
Place the chocolate chips into a microwave-safe bowl. Heat in the microwave in 30-second intervals, stirring well until it is fully melted and smooth. Fully coat each peanut butter ball in the melted chocolate. Set onto a large plate, and let sit until the chocolate has completely set.