[Problem] To provide an antiperspirant or deodorant cosmetic comprising an oil-in-alcohol/water type emulsion composition, said antiperspirant or deodorant cosmetic having a high emulsion stability, offering no stickiness upon application and giving a pleasant refreshing feeling and dry touch. [Solution] An antiperspirant or deodorant cosmetic comprising an oil-in-alcohol/water type emulsion composition, said oil-in-alcohol/water type emulsion composition containing: (a) 1 mass% or less of an oily component containing a highly polymerized silicone; (b) an emulsifier comprising one or more kinds of polyether-denatured silicones; (c) 50 mass% or more of a lower alcohol; and (d) water.