The object of the present invention is to provide a thermoplastic elastomer composition having a good balance between the hardness and the mechanical strength, exhibiting superior rubber elasticity, high-temperature creep characteristics and formability in a wide range of temperature, and having oil resistance and heat resistance. The thermoplastic elastomer composition comprises (A) (meth)acrylic block copolymer; (B) a compound containing at least two amino groups in its molecule; and (C) a thermoplastic resin. The (meth)acrylic block copolymer (A) comprises (A1) a (meth)acrylic copolymer block and (A2) an acrylic copolymer block. A1 least one of the polymer blocks has at least one acid anhydride group. The (meth)acrylic block copolymer (A) and the compound (B) are dynamically vulcanized in the thermoplastic resin (C).