The invention provides a thermoplastic elastomer composition which can tightly adhere to a resin having a polar group without the need of using any adhesive and is excellent in water resistance, rubbery properties and molding processability, or to provide a composite molded article manufactured from the composition. Technical scheme of the invention is a thermoplastic elastomer composition comprising: (a) 100 parts by mass of a styrene block copolymer constituted by a [vinyl aromatic polymer block (A1)]-[hydrogenated conjugated diene polymer block (A2)]-[vinyl aromatic polymer block (A1)]; (b) 2 to 1000 parts by mass of an acrylic block copolymer having a methacrylic acid ester polymer block (B3) and an acrylic acid ester polymer block (B1); and (c) 2 to 200 parts by mass of a block copolymer containing a hydrophilic group; and a composite resin molded article manufactured by compositing the thermoplastic elastomer composition with a thermoplastic resin.