A golf putter head has a weighted heel portion and a lighter front portion, where a striking face is located. A cutout is formed in the striking face and a high-impact polymer wedge-shaped insert is fitted into this cutout. The insert serves as the hitting face of the putter head. The bottom surface of the putter head has an irregularly-shaped cutout configured to receive a metal sole plate therein. Heavier portion of the sole plate is located in the heel portion of the putter head, causing a lower center of gravity of the putter head. The bottom surface of the bottom cutout adjacent to the front portion has several openings, which receive epoxy of similar lightweight material, thereby making the front portion lighter in comparison to the heel portion. The front striking surface ahs a lower inclined portion to improve loft of the putter head.