The present invention relates to a composition comprising one or more cationic surfactants, one or more amphoteric or zwitterionic surfactants, one or more silicones, one or more cationic polymers, one or more fatty alcohols and one or more clays. The invention also relates to a cosmetic process for washing keratin fibres using this composition. Finally, the invention relates to the use of such a composition for washing keratin fibres.