Controlled radical polymerization of lauryl methacrylate in the base polyalphaolefin oil was performed first in the presence of 2-cyano-2-propyl dodecyl trithiocarbonate. It has been shown that polymerization proceeds to high monomer conversions and leads to the formation of a polymer with a narrow molecular weight distribution. At the same time, the reaction mixtures retain their transparency after polymerization is completed. The synthesized polymers have a thickening ability, which naturally increases with an increase in their number average molecular weight.