A customizable golf putter head includes a face member and a back body both of which may be selected from a plurality of differently configured face members and back bodies. The face member has a cavity formed in its rear surface and the back body has a mating section that is positioned within the cavity of the face member. A face insert is formed on the mating section of the back body and extends through an opening formed between heel and toe ends of the face member. A membrane positioned between the face member and the back body also has an opening through which the face insert extends.