Homopolymerization of ethene (ET), propene (PP), 1-butene (BT), 1-hexene (HX), and styrene (ST) by rac [Zr{1-Me2Si(3-Pr-(η5-C9H5))(3-H-(η5-C9H5))Cl2] ansa-zirconocene catalyst were investigated using Density Functional Theory (DFT) calculations. This study unveiled the following: (i) Ansa-zirconocene is regio and stereoselective catalyst for PP, BT, HX, ST polymerization; (ii) Regio and stereoselectivities depend on the orientation of the growing chain and incoming olefin monomers; (iii) Primary (1,2) insertion is preferred over secondary (2,1) insertion for linear olefin ( PP, BT, and HX) while it is the opposite for ST; (iv) The activity of olefin polymerization by ansa-zirconocene is controlled by the thermodynamics of π-complex formation and the kinetics of insertion. Our results revealed that the regio and stereoselectivity of the catalyst can be described by the steric interaction between the incoming monomer and isobutyl group of the growing chain. For ET polymerization, the effect of catalyst structure on the productivity of the process was examined and QSPR models were constructed based on experimental activities and theoretical calculations. The model suggests that potent ansa-zirconocene catalysts should have less value of the dipole moment and the more positive charge on the Zr metal atom. This information will provide clues for the design of more potent ansa-zirconocene catalysts for ethylene polymerization.