This invention provides a method for fabricating golf club head parts of high strength. At first, vapor grown carbon fibers (VGCF) with 3-D linkage structure is directly grown through a fluidized bed process. Then the VGCF in weight of less than 50 wt % is compounded with 50 wt %.about.99 wt % thermoplastic resin or thermosetting resin so as to make a composite material. Thereafter, the composite material is injection-molded or compression-molded to form the golf club head parts with outstanding strength and modulus, light weight, low linear expansion coefficient and high vibration absorption.