A production method of a member having a surface provided thereon with a chemical conversion coating includes a contacting step and a washing step. The contacting step causes a reactive-type chemical conversion treating acidic composition to contact with a base material having a metal-based surface thereby forming a chemical conversion coating on the metal-based surface of the base material. The washing step washes the base material having been subjected to the contacting step to obtain a member having a surface provided thereon with the chemical conversion coating. The reactive-type chemical conversion treating acidic composition contains a water-soluble trivalent chromium-containing substance, a water-soluble titanium-containing substance, and a carboxylic acid compound. The acidic composition is free from a water-soluble cobalt-containing substance.