The invention relates to novel aminothiol ester compounds having the general formula (I): ##STR00001## and to a method for preparing them and to their use in pharmaceutical compositions intended for use in human or veterinary medicine (cancers and precancers, dermatological, rheumatic and ophthalmological complaints in particular) or in cosmetic compositions.The invention also relates to a pharmaceutical or cosmetic composition, characterized in that it comprises, as active agent, a compound of general formula (I) in combination with a pharmaceutically or cosmetically acceptable support.