A hollow fiber carbon membrane is produced by preparing a membrane-forming dope for carbon membranes by dissolving polyphenylene oxide in an amount giving a concentration of 15 to 40 wt. % in the membrane-forming dope, and sulfur in an amount giving a ratio of 0.2 to 3.0 wt. % based on the polyphenylene oxide, in a solvent capable of dissolving these components; preparing the membrane-forming dope for carbon membranes into a hollow shape by means of a spinning method in accordance with a non-solvent induced separation method using a double annular nozzle; performing a crosslinking treatment at 200 to 240° C. in the air; then performing an infusibilization treatment by heating at 250 to 350° C.; and further performing a carbonization treatment by heating at 450 to 850° C. in an inert atmosphere or under vacuum.