To provide a cover for receiving an air bag, not broken at a place except a predetermined breaking place on the expansion development of the air bag and capable of being adhered to a coating film by a coating method comprising one coating process and one baking process.

This cover for receiving an air bag is produced by molding a thermoplastic elastomer composition comprising components (A)-(C). (A) 5-40wt.% to the hydrogenation product of a styrene-conjugated diene block copolymer; (B) 5-40wt.% of an ethylene-butene copolymer rubber and/or an ethylene-propylene-non-conjugated diene copolymer rubber; (C) 90-20wt.% of an olefinic resin, wherein the total amount of the components (A), (B), (C) is 100 pts.wt.