Abstract: The kinetics of the Ziegler-Natta polymerization of C₆～C₂₀ α-defines has been seldom studied, which showed no apparent differences from the kinetics of the polymerization of ethylene and propylene.1-Octene polymerizes in alkanes in a solution state, differing from the slurry polymerization of ethylene.We have found and studied the inordinary kinetics of the polymerization of 1-octene on α-TiCl₃-AlEt₃[or-Al(i-Bu)₃, -AlEt₂Cl] catalysts in n-heptane, and have given a primary explanation to this phenomenon.