Metallocene compound and olefin polymerization catalyst as well as application thereof

The invention provides a metallocene compound. The metallocene compound has the following structural formula: the formula is shown in the description, M is Ti or Zr; R3 is selected from any one of H,allyl and 2-butenyl; one of R4 and R5 is allyl or 2-butenyl, the other one is H or (the formula is shown in the description); R1 and R2 are separately independently selected from any one of H, methyl,ethyl, n-propyl, n-butyl, n-amyl and n-hexyl; and Ph is phenyl or 3,5-dialkyl substituted phenyl, and the alkyl is C1 to C6 chain alkyl. The large steric hindrance aryl group in the metallocene compound limits the relative rotation of cyclopentadienyl loops without influencing the insertion of alpha-olefin, so that the catalytic activity is good, the copolymerization catalytic capability is moreexcellent, the metallocene compound not only reserves the activity of the mono-center catalyst, but also can easily control a space effect and electronic effect of two cyclopentadienyl loops so as tofurther regulate and control