A golf putter head adapted for attachment to a club shaft is provided with a face member having a strike face and a cylindrical back cavity, and a body member configured to fit and rotate within the back cavity is disclosed. Selective rotation of the body member within the back cavity sets a loft of the putter head. The weighting of the putter is adjusted by securing a weight member to the body member. A golf putter head having an increased moments of inertia is also disclosed. The putter head includes a face member, a body member, and a weight member. Placement of the weight member is such that the moments of inertia are increased and the putter head is stable.