METHOD FOR PRODUCING ALKYLENE POLYMERS I. The invention relates to the production of alkylene polymers by polymerization or copolymerization of alpha alkylene by the low pressure method on Ziegler tin catalysts. '5 A method for producing alkylenepolymers by solution polymerization of at least one alpha-alkylene in a liquid dispersant at a temperature of 120-260C and a pressure of 1 ^ -200 atm in the presence of titanium halides and organoaluminum compounds as a catalyst for the product of the productmoreover, the ratio between both components of the catalyst is chosen between 0.4;1 and 1.4: 1. By choosing a different ratio, the polymerization rate decreases rapidly,the degree of polymerization is poorly regulated and the polymerizate is obtained with undesirable flow properties. According to the invention, it has been establishedthat for the polymerization of alkylene in a liquid disnergator at elevated temperature and the use of a catalyst,obtained by mixing the components in a certai