A game racket has a head frame comprising a network made of a plastic material of excellent elasticity and structural strength by injection molding. The network of the head frame is composed of a wrapping portion and a ball-striking portion. The wrapping portion has a width sufficient to wrap up the head frame while the ball-striking portion is formed by a plurality of horizontal strings and longitudinal strings of the wrapping portion, which interlace vertically one another. The head frame is therefore devoid of the string holes.