A method for manufacturing a seamless steel tube, wherein a tubing material for the seamless steel tube is produced by a hot working process from a material having less workability, such as a high Cr--high Ni--high C alloy steel including Cr at a content not less than 15 weight % and Ni at a content not less than 20 weight % or a ferritic stainless steel including Cr at a content not less than 16 weight %, and then cold drawn at a reduction rate of not less than 15% and further cold rolled after applying an appropriate heat treatment, so that a round or an inner grooved steel tube is obtained. It is preferable that the hot extrusion process is employed for the hot working process and a cold Pilger mill is employed for the cold rolling process. In the cold rolling process, the crackings or damage resulting from the reduced toughness of the tubing material as well as the breakage of a mandrel in producing the round or the inner grooved tube can be suppressed.