The present disclosure provides a medical instrument with a coating that provides excellent lubricity when wet. The medical instrument possesses a coating including a wet lubricating film with high peel durability and anti-eluting properties. In embodiments, an intermediate film made of bisphenol A type epoxy resin is coated on a base material of a medical instrument made of metal, and a wet lubricant coating produced by alkaline processing of a polymer alloy containing a methyl vinyl ether maleic anhydride copolymer and a polyether block amide is then applied thereto. Methods for making these medical instruments are also provided.