Radiation graft polymerization of glycidyl methacrylate（GMA） to various synthetic fibers such as polyester, nylon 6 and polypropylene was carried out by γ-rays to total dose of 2×10⁶ and 1×10⁷ r, respectively. Graft polymerization was performed by simultaneous γ-ray irradiation in a polar solvent under atmospheric pressure, and the degree of grafting was checked. Dyeabilities of GMA grafted polyester, polypropylene and nylon 6 were discussed. Mechanical properties of GMA grafted synthetic fibers were examined.