A method of manufacturing a silicon carbide semiconductor device includes forming a trench for a MOS gate in an SiC substrate by dry etching. Thereafter, the substrate with the trench is heat treated. The heat treatment includes heating the substrate in an Ar gas atmosphere or in a mixed gas atmosphere containing SiH4 and Ar at a temperature between 1600° C. and 1800° C., and thereafter in a hydrogen gas atmosphere at a temperature between 1400° C. and 1500° C. The present manufacturing method smoothens the trench inner surface and rounds the corners in the trench to prevent the electric field from localizing thereto.