To provide a fiber-reinforced composite material with a coating film, and a method for producing the material, in particular, a coated fiber-reinforced composite material having a coating film, which is rigid and excellent in wear resistance, formed on the surface of a fiber-reinforced resin base, and a method for producing the composite material.

The coated fiber-reinforced composite material is obtained by forming a coating film on at least a part of the surface of a fiber-reinforced resin base which contains an acrylic carbon fiber and a crosslinked body of a cycloolefin polymer. The coated fiber-reinforced composite material is produced by coating at least a part of the surface of a fiber-reinforced resin base, which is prepared by polymerizing and crosslinking a curable composition containing a cycloolefin monomer, a polymerization catalyst and a crosslinking agent in the presence of an acrylic carbon fiber.