Abstract: A crosslinked thermoplastic elastomer blend prepared by the process comprising blending together:(a) a thermoplastic resin containing at least three alternating blocks:A.sub.x --B--A.sub.xwherein A is a block of at least one polymerized unsaturated ethylene monomer of the following formula:--CH.sub.2 --C(R.sub.1)(R.sub.2)--wherein R.sub.1 and R.sub.2 are each a hydrogen, alkyl or aromatic group, provided that when one of R.sub.1 or R.sub.2 is a hydrogen or an alkyl group, the other R group is an aromatic group; andwherein B is a block of a polymer or copolymer containing at least one conjugated diene monomer in polymerized form, having at least four (4) carbon atoms and the following formula for the residual double bond in the diene after polymerization:--C(R.sub.3)(R.sub.4)--C(R.sub.5).dbd.C(R.sub.6)--C(R.sub.7)(R.sub.8)--wherein R.sub.3 -R.sub.