The present invention is a golf putter head wherein the second moment among the three inertial moments described below shows a maximum 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 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 about a second axis which is an axis in the vertical direction that passes through the center of gravity of the head; andThird moment: inertial moment 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.