A method of cleaning for removing metal compounds attached to a surface of a substrate, wherein the cleaning is conducted by supplying a supercritical fluid of carbon dioxide comprising at least one of triallylamine and tris(3-aminopropyl)amine to the surface of the substrate and a process for producing a semiconductor device using the method of cleaning are provided. In accordance with the method of cleaning and the method for producing a semiconductor device using the method, etching residues or polishing residues containing metal compounds are efficiently removed selectively from the electroconductive material forming the electroconductive layer. When the electroconductive layer is a wiring, an increase in resistance due to residual metal compounds can be suppressed, and an increase in the leak current due to diffusion of the metal from the metal compounds to the insulating film can be prevented. Therefore, reliability on the wiring is improved, and the yield of the semiconductor device can be increased.