Disclosed is a technology of manufacturing, at low cost, an epitaxial crystal substrate provided with a high-quality and uniform epitaxial layer, said technology being useful in the case of growing the epitaxial layer composed of a semiconductor having a lattice constant different from that of the substrate. The substrate, which is composed of a first compound semiconductor, and which has a step-terrace structure on the surface, is used, and on the surface of the substrate, a composition modulation layer composed of a second compound semiconductor is grown by step-flow, while changing the composition in the same terrace. Then, the epitaxial crystal substrate is manufactured by growing, on the composition modulation layer, the epitaxial layer composed of the third compound semiconductor having the lattice constant different from that of the first compound semiconductor.