Metallocene catalysts refer to the combination of bis(cyclopentadienyl)metal complexes of Group 4 (IVB) (especially zirconium), or cyclopentadienyl‐substituted derivatives thereof, and a cocatalyst, typically methylalumoxane (MAO) or a perfluorated arylborane. Metallocene catalysts are employed in olefin polymerization as a new generation of Ziegler–Natta catalysts. The single‐site character of the active species enables the syntheses of polymers with narrow molar mass, comonomer distribution and tacticity distribution as industrially important features. Through a rational substitution pattern at the cyclopentadienyl ligands, metallocene catalysts allow for a unprecedented control and variation of the tacticity in α‐olefin polymerization. Furthermore, metallocene catalysts made the polymerization of cyclic olefins without ring opening possible.