The present invention provides a topical composition for hair growth which contains a compound represented by formula (1), said composition eliminating dryness in hair, imparting smoothness and moisture to hair, and having excellent persistence of effects such as minimizing damage to hair. The topical composition for hair growth is characterized by containing, (a) a compound represented by formula (1), (b) a non-ionic surfactant, (c) at least one compound selected from the group consisting of magnesium compounds and calcium compounds, and (d) water.