A composite golf club head with improved sound characteristics is disclosed herein. More specifically, the present invention relates to a golf club head that utilizes a unique composite type material having a low damping coefficient; creating more discretionary weight to optimize performance without comprising the sound of the golf club head. Depending on the amount of discretionary weight desired, the present invention could replace parts of the crown, the sole, the striking face, or even all three of the above referenced components with a low-damping composite material to improve the performance. The low-damping composite material used in accordance with the current invention may generally have a damping loss factor (η) of less than about 0.02.