The present invention relates to a cosmetic composition for keratin fibers, such as a composition for coloring hair or a composition for reshaping hair, comprising: (a) at least one phosphoric surfactant (b) at least one non-ionic surfactant, (c) at least one polyol (d) at least one oil and (e) at least one alkaline agent. It is preferable that the cosmetic composition further comprises at least one higher alcohol. The present invention is useful because it does not generate odor while maintaining a level of cosmetic performance as comparable to that of conventional cosmetic compositions.
