An adjustable golf putter includes a shaft and a head; the head being comprised of a putting part and an adjustment device connected to the back of the putting part; the adjustment device includes a base, a trough being disposed on the central section of the base to accommodate a roller; a sleeve and an adjustment mechanism being respectively inserted to both ends of the roller; a joint being adapted to the roller to be incorporated with the shaft; an insertion channel being each disposed in recess on both sides of the base; a threaded bolt being fixed in the insertion channel for the installation of weights and their positions by means of two sets of nuts to adjust the weight and central gravity of the head.