The invention relates to a non-bridge mono / bi-nuclear metallocene compound and a relative application olefin polymerization catalyst technical field. The compound contains 1-(4-methyl)-phenyl-2, 3, 4, 5-tetramethyl cyclopentadienyl-(2, 4, 6-tertiary butyl phenoxy)-titanium chloride, and (3, 3', 5, 5'-quattuor isopropyl-4, 4'-biphenyl oxygen)-bi-[1-(4-methyl)-phenyl-2, 3, 4, 5-tetramethyl cyclopentadienyl-titanium dichloride] or the like. The metallocene compound can be used as main catalyst, while alkyl aluminum is used as promoter, or organic boron compound and alkyl aluminum are assembled into a promoter system, to catalyze and synthesize high-molecular-weight atactic polypropylene with improved catalysis activity and polymer molecular weight, which can catalyze the polymerization of vinyl and alpha-olefin, to obtain the polymer with suitable molecular weight in narrow distribution and high co-monomer content.