An alkylene and/or silylene bridged binuclear metallocene catalyst for styrene polymerization is represented by the following formula (I): where M1 and M2 are the same or different transition metal of Group IVb of the Periodic Table; Cp1 and Cp2 are the same or different cyclopentadienyl; alkyl, alkoxy, silyl or halogen substituted cyclopentadienyl; indenyl; alkyl, alkoxy, silyl or halogen substituted indenyl; fluorenyl; or alkyl, alkoxy, silyl or halogen substituted fluorenyl, which is capable of pi -electron, eta 5-bonding with M1 or M2; each of E1, E2 and E3, independently of one another, is a carbon atom or a silicon atom; m, p and q are integers of 0 to 15 and m+p+q>/=1; each of R1, R2, R3, R4, R5 and R6, independently of one another, is a hydrogen, an alkyl, an aryl, an alkoxy or a halogen; X is a hydrogen, an alkyl, an alkoxy or a halogen; and n is 3. M1 and M2 may also be in cardin form by mixture of (I) with a compound which abstructs an X gray from each metal atom and substitution then with non-coordinating anions.