Method of inhibiting perspiration with antiperspirant compositions containing trivalent metal salts of trifluoromethanesulfonic acid of the formula: Me (CF.sub.3 SO.sub.3).sub.3 wherein Me is aluminum, lanthanum, cerium or didymium obtained by reacting trifluoromethanesulfonic acid with the appropriate metal carbonate or sulfide or by the exchange reaction of the appropriate metal sulfate with barium trifluoromethanesulfonate.