An organic polyisocyanate with at least one unsaturated functional group is capable of copolymerizing when exposed to actinic radiation. The polyisocyanate comprises structural units with the formula (1): wherein: X is an electron-attracting group; R1, and R2 are hydrogen atoms, a saturated or unsaturated aliphatic or cycloaliphatic radical, or an aromatic or araliphatic radical; and n is an integer from 0 to 5. A process for producing this polyisocyanate is also disclosed.