Non-aqueous ink composition for liquid ink jet printing comprising: - a vehicle comprising one or more organic solvent(s) liquid at ambient temperature, or one or more organic compound(s) solid at ambient temperature and liquid at the projection temperature; - one or more dye(s) and/or pigment(s); - a binder, comprising at least one binding resin consisting of a copolymer of vinylidene chloride and of at least one other monomer, in solution at ambient temperature in the organic solvent(s) or in solution at the projection temperature in the organic compound(s). Method for marking substrates, supports or objects by projection onto said substrates, supports or objects of said ink composition by a liquid ink jet printing technique. Substrate, support or object, particularly flexible substrate, provided with a marking obtained by drying and/or absorption of said composition.