The present invention relates to a method of hair coloring and bleaching compositions providing a composition comprising i) at least one source of peroxymonocarbonate ions, ii) at least one alkalizing agent, preferably a source of ammonium ions, and iii) at least one radical scavenger, wherein said composition has a pH of up to 9.5, and applying the composition to the hair and retaining on the hair for a period of less than 20 minutes, which provide a high level of lift and lightening and the required dye deposition and grey coverage whilst reducing the concentration of peroxide, the ammonia odor and reducing the hair fiber damage.