The present invention relates to a multi-component antiperspirant agent comprising a first component formed from a cosmetic composition A and a second component formed from a cosmetic composition B different from the composition A, which are intended to be combined by application to the skin simultaneously, separately or sequentially over time, the said cosmetic composition A comprising one or more compounds that are capable of treating the skin, and a cosmetic composition B different from the cosmetic composition A, comprising one or more compounds that are capable of acting on the skin once it has been treated, the said combination being capable of imparting an antiperspirant effect. The present invention also relates to a process for treating perspiration using the multi-component antiperspirant agent, and also to the use of such an agent.