Abstract: A golf putter includes a club head with an elongated main body, and a resilient sheath enclosing the main body. The sheath has a front covering portion which covers a front side wall of the main body and which has an upright ball contacting surface adapted to be in contact with a golf ball. The ball contacting surface is formed with at least one groove that extends along a longitudinal direction of the main body. A club shaft has a lower end extending through the sheath, and is mounted on the main body of the club head.