In the first section of project, a new one-pot boron-catalyzed polymerization of tetrahydrotiopheniummethylide has been used to prepare polymethylenes. The living polymerization via the intermediacy of sulfur ylides was initiated and catalyzed by the organoborane. Termination of the resulting tris(polymethylene) organoborane with acetic acid produced polymethylenes. In this reaction, first we used simmons- smith reagents to synthesiz sulfur ylide insitu. Then the insitu sulfur ylide applied to synthesis of polymethylene in present of BEt 3. This is the first application of Simmons-Smith reagents in the polyhomologation reaction. By this simple method we could synthesize polymers without an interfearing byproducts. The monomodal peak and low polydispersitys 1.18 approve the living systems of polyhomologation. In the second project, At first, We synthesized tetra-functionalized bromide initiator by esterification reaction of a tetra hydroxyl groups present in the Ethylenediamine-N,N,N',N'-tetra-2-propanol to produce star polymer by core-first method. The multifunctional initiator (core) have been used, methyl methacrylate (MMA) as hydrop hobic monomer, CuBr as the catalyst and 2,2'-bypiridine ligands in the synthesis of methyl methacrylic star polymers by atom transfer radical polymerization (ATRP). Under these conditions, tetra-arm star polymers were synthesized with high conversion, low polydispers and nearly monomodal molecular distributions. These polymers were recognized by different instrumental methods such as FT-IR, 1 H NMR and also scanning and tunneling electron microscopes. Formation of star polymers were confirmed by spherical ingredients in these pictures. GPC of the hydrolyzed star polymers are monomodal, which is the characteristics of living systems. The molecular weights of these linear polymers are near to ¼ molecular weights of star polymers. In Second part, Aminopropylsilicagel react with 2-bromopropyonylbromide to generate initiator that could be used as a core, to produce organic/ inorganic star polymers, by ATRP method. In the precense of methylmethacrylate monomer, CuBr and 2,2'-bypiridine ligands,the polyhomologation reaction progressed at reflux temprature to produce star polymer. The characterization of polymers were done by instrumental analysis methods FT-IR, 1 H NMR and SEM.