To provide heat-resistant alloy members that maintain the resistance to corrosion at high temperature of the chromized layer formed on Ni- or Co-base heat-resistant alloys and which yet are improved in various mechanical properties. The improved Ni- or Co-base heat-resistant alloy member having a chromized layer that is characterized by having a chromium concentration of 25-80% and a thickness of 10-100 .mu.m. This member is produced by controlling both the vapor pressure of a chromium halide being used in chromization and the temperature therefor in such a way that the chromized layer being formed is adjusted to have a chromium concentration and a thickness within the ranges specified above.