A process for processing a silver halide color photographic material is disclosed. The process particularly relates to bleaching and fixing of a color developed silver halide color photographic material. The color developed material is processed with an acid bleaching solution containing a ferric salt, inorganic salt and a halide. Immediately after the bleaching step, the photographic material is processed with the fixing solution containing 5 g/l to 50 g/l of polycarboxylic acids. By utilizing the bleaching and fixing steps disclosed it is possible to process a silver halide color photographic material rapidly utilizing a reduced number of baths, obtain an excellent bleaching rate and produce an image having excellent stability.