Abstract: The present invention relates to grafted ethylene polymers and copolymers characterized in that they are thermoplastic and, if appropriate, crosslinkable and soluble at ambient temperature in organic solvents and/or aqueous media and in that they are prepared by polymerization of (in % by weight relative to the resin obtained):0.5 to 30% of at least one unoxidized polyethylene and/or an unoxidized ethylene copolymer based on at least 70% by weight of ethylene, the said polyethylene or ethylene copolymer being defined by the following properties:a weight average molecular weight (Mw) between 900 and 60,000,a Brookfield viscosity at 190.degree. C. of between 0.1 and 500 poises and/or a Brookfield viscosity at 140.degree. C. of between 0.1 and 2,000 poises.a crystallinity, measured using X rays, of between 10% and 80%,and, if desired, containing ester, anhydride or acid functional groups originating from the ethylene comonomers,70 to 99.