wherein, M¹, M² and M³ are transition metals, respectively, and each is selected from the group consisting of atoms in Groups 3, 4, 5, 6, 7, 8, 9, 10 the periodic table, and L¹, L² and L³ are cycloalkanedienyl ligands, respectively and each is represented by the following formula 4, 5, 6, 7 or 8:

wherein, R¹, R², R³, R⁴, R⁵, R⁶, R⁷, R⁸, R⁹, R¹⁰, R¹¹, R¹², and R¹³ are respectively or independently selected from the group consisting of hydrogen atom, halogen, alkyl, C_3-20 cycloalkyl, C_2-20 alkenyl, alkylsilyl, haloalkyl, alkoxy, alkylsiloxy, amino, alkoxyalkyl, thioalkoxyalkyl, alkylsiloxyalkyl, aminoalkyl, alkylphosphinoalkyl, aryl, arylalkyl, alkylaryl, arylsilyl, arylalkylsilyl, haloaryl, aryloxy, aryloxoalkyl, thioaryloxoalkyl, aryloxoaryl, arylsiloxy, arylalkylsiloxy, arylsiloxalkyl, arylsiloxoaryl, arylamino, arylaminoalkyl, arylaminoaryl or arylphosphinoalkyl group (here, the alkyl group is C_1-20 hydrocarbon group having either the straight or the branch structure and the aryl group is C_6-40 aromatic or heteroaromatic group) and each of m and n is an integer of 1 or more;

X¹, X², X³, X⁴, X⁵, and X⁶which are σ-ligand functional groups, are respectively or independently selected from the group consisting of hydrogen atom, halogen, hydroxyl, alkyl, C_3-20 cycloalkyl, alkylsilyl, C_2-20 alkenyl, alkoxy, alkenyloxy, thioalkoxy, alkylsiloxy, amide, alkoxyalcohol, alcoholamine, carboxyl, sulfonyl, aryl, alkylaryl, arylalkyl, arylsilyl, haloaryl, aryloxy, arylalkoxy, thioaryloxy, arylsiloxy, arylalkylsiloxy, arylamide, arylalkylamide, aryloxoalcohol, alcohoarylamine, or arylaminoaryloxy group (here, the alkyl group is C_1-20 hydrocarbon group having the straight or branch structure and the aryl group is C_6-40 aromatic or hetero aromatic group);

A¹, A², and A³, which are σ-ligand functional groups respectively, are independently selected from the group consisting of oxygen atom, sulfur atom, carboxyl group, sulfonyl group, N-R¹⁴ or P-R¹⁵;

B¹, B², B³, B⁴ and B⁵ are respectively or independently selected from the group consisting of alkyl, C_3-20 cycloalkyl, C_2-20 alkenyl, alkylsilyl, haloalkyl, alkoxy, alkylsiloxy, amino, dialkylether, dialkyltioether, alkylsiloxyalkyl, alkylaminoalkyl, alkylphosphinoalkyl, aryl, arylalkyl, alkylaryl, arylsilyl, arylalkylsilyl, haloaryl, aryloxy, aryloxoalkyl, thioaryloxoalkyl, aryloxoaryl, arylsiloxy, arylalkylsiloxy, arylsiloxalkyl, arylsiloxoaryl, arylamino, arylaminoalkyl, arylaminoaryl or arylphosphinoalkyl group (here, the alkyl group is C_1-20 hydrocarbon group having either the straight or the branch structure and the aryl group is C_6-40 aromatic or heteroaromatic group);

D¹, D², D³, D⁴, D⁵ and D⁶,which are functional groups respectively, are independently selected from the group consisting of hydrogen atom, halogen, alkyl, C_3-20 cycloalkyl, C_2-20 alkenyl, alkylsilyl, haloalkyl, alkoxy, alkylsiloxy, amino, alkoxyalkyl, thioalkoxyalkyl, alkylsiloxyalkyl, aminoalkyl, alkylphosphino alkyl, aryl, arylalkyl, alkylaryl, arylsilyl, arylalkylsilyl, halo aryl, aryloxy, aryloxoalkyl, thioaryloxoalkyl, aryloxoaryl, arylsiloxy, arylalkylsiloxy, arylsiloxalkyl, arylsiloxoaryl, arylamino, arylaminoalkyl, arylaminoaryl, and arylphosphinoalkyl group (here, the alkyl group is C_1-20 hydrocarbon group having either the straight or the branch structure and the aryl group is C_6-40 aromatic or heteroaromatic group);

Q¹, and Q² are respectively or independently nitrogen, phosphorous, Si—R¹⁷ or Ge—R¹⁸; and

R¹⁴, R¹⁵, R¹⁷ and R¹⁸ are respectively or independently selected from the group consisting of hydrogen atom, halogen, alkyl, C^3-20 cycloalkyl, C^2-20 alkenyl, alkylsilyl, haloalkyl, alkoxy, alkylsiloxy, amino, alkoxyalkyl, thioalkoxyalkyl, alkylsiloxyalkyl, aminoalkyl, alkylphosphinoalkyl, aryl, arylalkyl, alkylaryl, arylsilyl, arylalkylsilyl, haloaryl, aryloxy, aryloxoalkyl, thioaryloxoalkyl, aryloxoaryl, arylsiloxy, arylalkylsiloxy, arylsiloxalkyl, arylsiloxoaryl, arylamino, arylaminoalkyl, arylaminoaryl and arylphosphinoalkyl group (here, the alkyl group is C_1-20 hydrocarbon group having the straight or branch structure and the aryl group is C_6-40 aromatic or heteroaromatic group).