A tacky thermoplastic elastomeric linear triblock polymer corresponding to the formula A-B-A is made from a monovinyl aromatic hydrocarbon and myrcene. A is a polymer block of a monovinyl aromatic hydrocarbon, e.g. styrene, having an average molecular weight between 2,000 and 100,000 and a glass transition temperature above 25.degree. C. B is a polymeric block of myrcene (7-methyl-3-methylene-1,6-octadiene, C.sub.10 H.sub.16) having an average molecular weight between 10,000 and 1,000,000 and a glass transition temperature below -40.degree. C. B constitutes from 40 to 80 percent of the total. The products are made by sequential polymerization with an organolithium initiator.