To provide a thermoplastic elastomer composition which has the surface hardness of at least 90 (JIS A), impact brittleness temperature of at most -35°C, properties of being easily moulded and of giving the moulded product of good appearance, and also to provide moulding products of the same composition.

The thermoplastic elastomer composition for car's exterior and interior comprises (A) 50 to 95 wt.% of 1,2-polybutadiene having at least 70% of 1,2-bonds and the crystallinity of 5-50% and (B) 5-50 wt.% of a block copolymer, and/or its hydrogenated product, of a conjugate diene compound and an aromatic vinyl compound where the amount of an aromatic vinyl compound bonded is 35 to 60 wt.%.