A graft copolymer composition capable of producing a molded product retaining a satisfactory appearance over a long period of time and having abrasion resistance, scratching resistance and bending resistance. The graft copolymer composition contains a graft copolymer as the main component and a lubricant including a fatty acid amide or an alkylene oxide derivative. The graft copolymer includes an olefin polymer segment (a) and a vinyl polymer segment (b). Particles of one segment are dispersed in the other one segment. The diameter of the particles is 0.001 to 10 μm. The vinyl polymer segment (b) is formed from a polar vinyl monomer.