The present invention relates to a stereorigid metallocene compound having as ligands at least two substituted or unsubstituted cyclopentadienyl groups which are connected to one another via a five-membered ring, where at least one cyclopentadienyl group is fused onto the five-membered ring and the ligand system of the stereorigid metallocene compound is different from 4-[.eta..sup.5 -3'-alkylcyclopentadienyl)-4,6,6-trimethyl-(.eta..sup.5 -2-alkyl-4,5-tetrahydropentalene]. The metallocene compound of the invention is suitable as a catalyst component for olefin polymerization.