To obtain an acrylic block copolymer composition excellent in particularly storage stability and melt flow during molding.

The thermoplastic elastomer composition contains an acrylic block copolymer (A) comprising methacrylic polymer blocks (a) and acrylic polymer blocks (b) and having hydroxyl groups (c) and/or carboxyl groups (d) and a blocked isocyanate compound (B) in which part or all of the isocyanate groups are blocked with a thermally dissociable blocking agent.