The invention relates to a method for producing a composite component reinforced by stiffening elements.Composite component is produced by the inside gluing of a monolithic component to a multiplicity of stiffening elements by means of an adhesive suitable for this particular application. Stiffening elements are formed with a fiber reinforced, amorphous thermoplastic material. Monolithic component of composite component consists of a fiber reinforced duroplastic material—for example a composite epoxy matrix—in which are embedded, for reinforcement, carbon fibers, basalt fibers, natural fibers, ceramic fibers, Aramide® fibers, Kevlar® fibers or any combination thereof.Monolithic component is glued to thermoplastic stiffening elements by an adhesive under the influence of pressure and temperature. Here a tolerance compensation is carried out essentially by stiffening elements, if necessary being plastically deformed, so that high dimensional stability is achieved. Composite components, which can be subject to high mechanical loads, are therefore provided, in particular, as spare or replacement parts for outer lining parts on aircraft.The invention also relates to a composite component produced by means of a method according to the invention.