Abstract: A technique of heteroepitaxially growing compound semiconductor on a silicon wafer, which can simplify the growth sequence, and improve the productivity and the surface morphology of a growth film. In growing compound semiconductor on a silicon wafer, the growth sequence such as shown in FIG. 1 is used. A necessary thin buffer layer is continuously grown at the temperature raising period up to the crystal growth temperature. Therefore, an independent process of growing a buffer layer at a lower temperature is not necessary, and the surface morphology is also improved by this method of growing compound semiconductor on a silicon wafer.