A head for a ball striking device, such as a golf club head, includes a face member having a face with a striking surface configured for striking a ball and a rear surface opposite the striking surface, a weight member connected to the face member behind the rear surface of the face member, and a resilient member positioned between the weight member and the face member. The resilient member is connected to the rear surface of the face member to connect the weight member to the face member. The resilient member is compressible to permit energy and/or momentum to be transferred between the weight member and the face member through the resilient member during impact, including an off-center impact on the striking surface. Momentum transferred from the weight member to the face member during an off-center impact may reduce energy loss and twisting of the face on impact.