The present invention provides a method of applying ink containing dyes to fabric composed of synthetic and cellulose fibers using an ink-jet system to print the fabric with high color shade depth and brilliancy and ink-jet printed goods obtained by the ink-jet printing method. The fabric composed of cellulose and synthetic fibers is treated with an acidic aqueous dispersion containing cellulose reactive compound, water-soluble polymer and non-water-soluble inactive organic compound with a melting point of 40° C.-150° C. and the fabric is dried before its ink-jet printing with reactive and disperse dyes.