The present invention relates to a polyurethane composition comprising A) a polyisocyanate component comprising an exclusively diol-based NCO-terminated polyurethane prepolymer, wherein the NCO groups are bonded in a primary manner, B) an isocyanate-reactive polymer, C) a compound having groups which react by polymerizing with an ethylenically unsaturated compound under the action of actinic radiation (radiation-curing groups) wherein the compound is free of NCO groups, D) a free-radical stabilizer, E) a photoinitiator, F) optionally a catalyst, G) optionally assistants and additives.