The development of the polymer chemistry during the last decade is characterized by the existence of several new methods of polymerization, e. g. the isomerization polymerization of aliphatic hydrocarbons, the oxidative catalytic polymerization of aromatics, the photochemical polyaddition, the 1.3 and 1.4 dipolar polycycloadditions, the two step polycondensation processes. Some of these methods have already been applied on an industrial scale. Simultaneously new catalytic procedures were discovered, some of which permit stereoregular copolymerization, and very recently stereo-elective polymerization. These different aspects will be considered successively.The isomerization polymerization in which the chain growth is characterized by alternate addition isomerization steps, is illustrated by several examples, and compared to the polymerizations with previous monomer isomerization, as in the case of B-olehs.The stepwise oxidative coupling of different 2.6 disubstituted phenols, with oxygen in the presence of amine complexes of copper salts is considered from kinetic and structural point of view and compared with the oxidative FRIEDEL-CRAFTS reaction on aromatic hydrocarbons.Two types of photochemical polyadditions are considered on the basis of the cyclomerization reaction, in which cyclobutane rings are formed by dimerization of olefins (in solution and in the solid state), and of the reductive dimerization, e. g. of bisarylketones into polypinacols.