To provide a cold-setting composition which exerts little residual tack and a high surface weather resistance.

The titled composition contains (A) 100 pts.wt. isocyanate group- terminated urethane prepolymer, obtained by allowing a polyol which mainly comprises a polyoxyalkylene polyol having a molecular weight of from 1,000 to 15,000 per a hydroxyl group and a total unsaturation fraction of 0.05 meq/g or smaller to react with a polyisocyanate compound and (B) from 1 to 20 pts.wt. photocurable substance which has its molecular weight increased or is crosslinked by light and becomes insoluble.