An adjustable putter head for a golf putter is designed having an elongated line of sight marking on a top surface of the putter head to aid in aligning the putter head in a putting direction toward a target point, and a putter face which is pivotally connected to the putter head to allow selective adjustment of an angular position of the putter face relative to the line of sight for purposes such as adjusting a face angle orientation to compensate for improper putting strokes, or lining up breaking putts using the line of sight to aim the putt at the hole as a fixed target while adjusting the face angle orientation to align the ball striking face square to an off-line direction of intended ball movement.