Novel asymmetric ethylene-bridged metallocenes useful as catalysts in the polymerization of olefins and process for preparing said metallocenes. The novel metallocenes are represented by the general formula: ##STR1## wherein M represents a transition metal selected from titanium, zirconium and hafnium and X and X' represent a halogen atom. Preferably, the transition metal is Zr and the halogen atoms are both chlorine. Process for producing the novel metallocenes of general formula (I) comprising the steps of: a) reacting fluorenyllithium with 1,2-dibromoethane to produce 1-(9-fluorenyl)-2-bromoethane, b) reacting the said 1-(9-fluorenyl)-2-bromoethane with 2,4,7-trimethylindenyllithium to produce 1-(9-fluorenyl)-2-[1-(2,4,7-trimethyl)indenyl]ethane precursor, c) reacting the said 1-(9-fluorenyl)-2-[1-(2,4,7-trimethyl)indenyl]ethane precursor with butyllithium to produce its dilithium salt and d) reacting the said dilithium salt with a transition metal halide selected from halides of Ti, Zr and Hf to produce the metallocenes. The novel metallocenes are useful as catalysts for the polymerization of olefins such as ethylene and propylene and, in particular, for the production of higly isotactic polypropylene.