Disclosed herein is an ink-jet ink comprising in combination at least one compound selected from nitrogen compounds consisting of secondary amines and derivatives thereof, tertiary amines and derivative thereof, and complexes thereof and having at least one group selected from the group consisting of alkyl groups, a carboxyl group and the salts thereof, and a sulfonic group and the salts thereof, and a cyclic phosphate in a liquid medium in which a dye is dissolved or dispersed.