The invention relates to a cosmetic process for treating body odour, which comprises the following steps: (1) applying directly onto the areas of skin to be treated with a deodorant composition (A) comprising at least one deodorant active agent in a cosmetically acceptable medium; (2) ingesting at least one composition (B) comprising, in a medium that is suitable for oral application, at least one edible fragrancing substance capable of producing an odour from within the body out to the human keratin materials; the order of the steps being irrelevant and the application of compositions (A) and (B) possibly being simultaneous or sequential within a time interval ranging from 30 seconds to 12 hours. The invention also relates to a deodorizing kit or device comprising at least two compartments, characterized in that it comprises: - a first conditioning comprising composition (A) as defined previously; - a second conditioning comprising composition (B) as defined previously.