The disclosure relates to a deodorant composition comprising a physiologically acceptable water-in-oil emulsion carrier comprising at least one antiperspirant ingredient and at least one semicrystalline polymer having a melting point greater than or equal to 30° C.The disclosure further relates to the use of cosmetic products for topical application to humans, such as deodorant products, and to methods of treating human perspiration and body odors associated with human perspiration.This composition may be in the form of a cosmetic cream having a very pleasant texture on application to the skin.