Epitaxial growth of C60 is observed for vacuum-deposited crystals on the KI(001) cleavage surface. When the KI surface is kept at 240-degrees-C and the deposition rate is controlled to be less than a monolayer min-1 (approximately0.5 nm min-1), rectangular platelike crystals of C60 grow epitaxially. Transmission electron micrographs and electron diffraction patterns of the crystals exhibit that the (002) planes of the face-centered cubic C60 crystal orient in parallel to the KI(001) surface. This epitaxial orientation is explained in terms of the c(2X2) commensurate lattice matching.