To provide a crosslinked material of a hydrogenated cyclic olefin ring-opening copolymer which is excellent in high transparency, adhesiveness, tight adhesiveness and anti-water absorption, is excellent also in dimensional stability, solvent resistance and chemical resistance, moreover, is easily processed into a molded product and has high cross-linking density, and to provide a composition for crosslinking the hydrogenated cyclic olefin ring-opening copolymer.

The crosslinked material is provided by crosslinking the hydrogenated cyclic olefin ring-opening copolymer which is obtained by ring-opening polymerizing a norbornene type monomer having a specified silyl group such as 5-triethoxysilyl-2-norbornene and other norbornene type monomer such as an 8-methyl-8-methoxycarbonyl teteracyclo[4. 4. 0. 12,5. 17,10]-3-dodecene and has a number-average molecular weight of 5,000 to 1,000,000, with siloxane bonds by means of heating, wherein the degree of swelling measured with toluene or cyclohexane at 25°C is 500% or less. Further, the crosslinking composition is produced by compounding a crosslinking agent (for example, a compound operating as an acid at a temperature of 50°C or higher) to the cyclic olefin ring-opening copolymer.

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