An object of the invention is to provide a coating material composition having excellent transparency as a transparent coating material. A cross-linkable composition of the present invention includes (A) 100 parts by weight of a base polymer represented by the following formula (I): Y-[ (CR12)b-SiRa(OR2)3-a]x (I), and (B) 50 parts by weight or more of a silicone resin including a unit represented by the following formula (II): R3c(R4O)dR5eSiO(4-c-d-e)/2 (II), wherein the average molar mass (number average) Mn of the silicone resin is 200 g/mol or more and 2,000 g/mol or less.