The present disclosure relates to cosmetic agents which, in addition to an antiperspirant compound and/or a deodorant active ingredient, contain a combination of special cyclical alcohols and specific menthyl compounds. These agents have a high and long-lasting deodorizing effect. The present disclosure also concerns a cosmetic product containing the cosmetic agent as contemplated herein, as well as at least one propellant. Moreover, the present disclosure relates to the use of agents as contemplated herein for treating body odor, as well as the use of a combination of cyclical alcohol and menthyl compound to increase the odor-inhibiting effect of cosmetic agents.