A method of producing a glycerin derivative-modified silicone or a composition comprising the same, including a process that treats the glycerin derivative-modified silicone or the composition comprising the same with one or more type of acidic inorganic salt, which is solid at 25° C. and water soluble, and which is such that a pH at 25° C. of an aqueous solution prepared by dissolving 50 g of the acidic inorganic salt in 1 L of ion exchanged water is 4 or lower and an external use preparation, cosmetic composition, or raw materials thereof that contain the low odor glycerin derivative-modified silicone obtained by the production method.