A golf putter having a virtual hitting face frontward offset from an actual hitting face of a putter head is disclosed. The golf putter comprises a putter head having a hitting face, a toe part and a heel part, a hosel connected on the putter head, a shaft which is formed with a grip at an upper end thereof, a shaft receiving part connected to the hosel to receive a lower end of the shaft; and a virtual hitting position decision plate which, when a golfer look downward at the hitting face, covers the hitting face, and has a virtual hitting face at a position forwardly offset from the hitting face.