The subject invention discloses a process for preparing a coupled styrene-isoprene-butadiene rubber which is particularly valuable for use in making automobile tire tread rubber compounds which comprises the steps of (1) solution terpolymerizing in an organic solvent from about 5 weight percent to about 40 weight percent styrene, from about 1 weight percent to about 10 weight percent isoprene, and from about 50 weight percent to about 94 weight percent 1,3-butadiene, based on total monomers, to a conversion of at least about 90% to produce a living styrene-isoprene-butadiene polymer, wherein the terpolymerization is initiated with an organolithium compound, and wherein the terpolymerization is conducted in the presence of a polar modifier at a molar ratio of the polar modifier to the organolithium compound, which is within the range of about 0.5:1 to about 5:1, and wherein the terpolymerization is conducted at a temperature which is within the range of about 20.degree. C. to about 150.degree. C.; and (2) coupling the living styrene-isoprene-butadiene polymer with a coupling agent selected from the group consisting of tin tetrachloride and silicon tetrachloride, wherein the molar ratio of the coupling agent to the organolithium compound is within the range of about 1:3 to 1:6.