A golf club head includes a body, a first arm and a second arm. The body has a ball striking face for striking a golf ball and extends from a heel-side to a toe-side. The first arm projects rearwardly from the body. The second arm also projects rearwardly from the body. The second arm is spaced from the first arm in a heel-to-toe direction to thereby define a gap. The club head further includes a tension member spanning the gap between the first and second arms. The tension member has a first end attached to the first arm and a second end attached to the second arm. The tension member may be pre-tensioned, thereby imparting increased rigidity to the club head. A golf club, particularly a putter, may be provided with this club head.