The main features of dimerization of vinylarenes, such as styrene, alpha-methylstyrene, beta-methylstyrene, p-methylstyrene, p-methoxystyrene, p-methoxy-beta-methylstyrene, m-chlorostyrene, and m-nitrostyrene used as an example, over zeolite catalysts were studied, and the high activity and selectivity of these catalysts in the reaction was shown. For styrene and alpha-methylstyrene, the vinylarenes having the largest production volume, catalysts that hold promise for industrial application were developed. Conditions for the selective linear dimerization (85-93%) and cyclodimerization (85-98%) of styrene and alpha-methylstyrene at a high conversion (100%) were determined.