wherein, M¹, M² and M³ are transition metals independently selected from the group consisting of atoms in Groups 3, 4, 5, 6, 7, 8, 9, 10 of the Periodic Table, and Each of L¹, L² and L³ is a cycloalkanedienyl ligand represented by the formula 4, 5, 6, 7 or 8:

wherein, R¹, R², R³, R⁴, R⁵, R⁶, R⁷, R⁸, R⁹, R¹⁰, R¹¹, R¹², and R¹³ are independently hydrogen atom, halogen, alkyl, C_3-20 cycloalkyl, C_2-20 oalkenyl, alkylsilyl, haloalkyl, alkoxy, alkylsiloxy, amino, alkoxyallcyl, 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 straight or 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, and X³, which are σ-ligand functional groups, are independently hydrogen atom, halogen, alkyl, C_3-20 cycloalkyl, alkylsilyl, C_2-20 alkenyl, alkoxy, alkenyloxy, thioalkoxy, alkylsiloxy, amide, alkoxyalcohol, alcoholamine, aryl, alkylaryl, arylalkyl, arylsilyl, haloaryl, aryloxy, arylalkoxy, thioaryloxy, arylalkylsiloxy, arylamide, arylalkylamide, aryloxoalcohol, alcohoarylamine, or arylaminoaryloxy group (here, the alkyl group is c_1-20 hydrocarbon group having straight or branch structure and the aryl group is C_6-40 aromatic or hetero aromatic group);

A¹, A², A³, A⁴, A⁵ and A⁶ are functional groups bounded to a central metal and are independently oxygen atom or sulfur atom;

D¹, D², D³, D⁴, D⁵ and D⁶ are a carbon atom, respectively;

E¹, E², E³, E⁴, E⁵, E⁶, E⁷, E⁸, E⁹, E¹⁰, E¹¹, and E¹² are independently 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 straight or branch structure and the aryl group is C_6-40 aromatic or heteroaromatic group), wherein all of E¹, E², E³, E⁴, E⁵, and E⁶ are not simultaneously hydrogen atom, all of E⁷, E⁸, E⁹, and E¹⁰ are not simultaneously hydrogen atom, and all of E¹¹ and E¹² are not simultaneously hydrogen atom;

Q¹, Q² and Q³ are independently nitrogen or phosphorous; and

Z¹, Z² and Z³ are independently hydrogen atom, alkyl, C_3-20 cycloalkyl, C_2-20 alkenyl, alkylsilyl, haloalkyl, alkoxyalkyl, thioalkoxyalkyl, alkylsiloxyalkyl, aminoalkyl, alkylphosphinoalkyl, aryl, arylalkyl, alkylaryl, arylsilyl, arylalkylsilyl, haloaryl, aryloxoalkyl, thioaryloxoalkyl, aryloxoaryl, arylsiloxy, arylalkylsiloxy, arylsiloxalkyl, arylsiloxoaryl, arylamino, arylaminoalkyl, arylaminoaryl or arylphosphinoalkyl group (here, the alkyl group is a C_1-20 hydrocarbon group having the straight or branch structure and the aryl group is a C_6-40 aromatic or heteroaromatic group).