A modular golf putter head having a hollow body is provided. The modular putter head comprises a permeable thin center piece disposed between two substantially identical large hollow cups. The large hollow cups selectively secure to either side of the thin center piece to enable use for right-handed or left-handed golfers. The modular putter head is configured to receive one or more removable weights, wherein the removable weights can be distributed in accordance to a user's preference to provide a customized center of gravity.