It is the aim to indicate a thermoplastic elastomer composition which is characterized by particularly good temperature stability from −40° C. to +150° C. and a particularly good oil resistance, with particularly good physical properties, in particular with a high elongation at break, and which is suitable for use in moldings, injection moldings, extrudates and/or blow moldings. In addition, the thermoplastic elastomer composition according to the invention comprises a mixture of acrylate rubber and polyurethane.