We report, for the first time, epitaxial growth of high-quality ZnS films on sapphire and silicon substrates, using pulsed laser deposition. X-ray diffraction results show that at all growth temperatures from 200 • C to 680 • C, epitaxial wurtzite (002) ZnS films have been successfully grown on (10 12) sapphire and (001) silicon substrates. X-ray diffraction data yield full width at half maximum 2θ values of 0.13 • for as-grown samples, compared with 2θ values of 0.09 • and 0.08 • for the bare sapphire and silicon substrates respectively.