A ball striking device, such as a golf club head, includes a face having a ball striking surface configured for striking a ball and a body connected to the face and extending rearward from the face. The head further has an indicator associated therewith, the indicator identifying a golf ball based on a vibration mode of the golf ball, such that the club head is configured to be used to strike the golf ball on the ball striking surface. In one embodiment, the face and the identified golf ball(s) may have the same or substantially the same vibration mode at one or more different swing speeds. The indicator may be positioned on the body or elsewhere on the club head, or may be alternately be positioned on a shaft connected to the head or separately from the ball striking device, such as in a written manual associated with the head.