Abstract: Disclosed herein is an improvement in a process for preparing a stainless steel of low carbon content from a steel melt containing chromium or chromium nickel of higher carbon content where the process is carried out in a converter having at least one blast nozzle below the molten steel bath level and at least one blast lance above the bath level wherein oxygen is supplied to the steel melt through the blast lance and inert gas is supplied through the blast nozzle during a first refining phase, and in a succeeding refining phase oxygen is combined with inert gas and introduced through the blast nozzles to the steel melt, the proportion of the oxygen being reduced in relationship to the proportion of inert gas with decreasing carbon content of the steel melt. The improvement of the invention permits a decrease in the amount of inert gas supplied during the first refining phase while not significantly increasing the refining time.