A thermoplastic elastomer composition comprising a blend of (a) a hydrogenated polybutadiene having, prior to hydrogenation, 40-100 percent 1,2-microstructure and said hydrogenation having been effected to remove at least 85 percent of the original unsaturation, and (b) a polymer of at least one alpha-olefin having 2-20 carbon atoms, said alpha-olefin polymer having a melting point of at least 90.degree. C. and having at least 45 percent crystalline structure therein;
- the amount of said hydrgenated polybutadiene comprising 40-90 percent by weight and the amount of alpha-olefin polymer comprising 10-60 percent by weight, said percentage being based on the combined weight of components (a) and (b).