A sports racquet having a plurality of string port holes, i.e enlarged string holes having two inwardly facing string bearing surfaces which are spaced apart by a distance corresponding to the distance between two contiguous main strings or cross strings, and conventional string holes is formed of a single tube of prepreg material. When molded, mold members press opposed portions of the prepreg tube into contact with one another, and shape the opposed portions and the surrounding prepreg material into a string port hole blanks. The portion of the pressed-together material which initially blocks the string port hole is removed after molding so that the string port holes extend through the frame. Alternatively, the mold members cause the prepreg tube to follow a serpentine shape, thereby defining string port holes which are open alternately along the top and bottom surface of the frame. A pair of cover rings may be secured to the top and bottom racquet surfaces to cover the open sides of the string port holes.