A golf putter head includes a face member arranged for impacting a golf ball. A first rear mass is located substantially rearward of a heel end of the face member, and a second rear mass is located substantially rearward of a toe end of the face member. Upper and lower arms extend rearwardly from the face member connecting the face member to the first and second rear masses. A cavity is defined between the upper and lower arms, and three openings to the cavity are provided. One of the openings is located between the first and second rear masses. Another opening is located between the first rear mass and the face member, and a further opening is located between the second rear mass and the face member.