The present invention is a golf putter head wherein the second moment among the three inertial moments described below shows a minimum value in a state in which the head is placed on a horizontal plane at a specified lie angle and loft angle: First moment: inertial moment of the head about a first axis which passes through the center of gravity of the head, and which is parallel to the face surface and said horizontal plane; Second moment: inertial moment of the head about a second axis which is an axis in the vertical direction that passes through the center of gravity of the head; and Third moment: inertial moment of the head about a third axis which passes through the center of gravity of the head, and which is perpendicular to said first axis and perpendicular to said second axis.