Arylimido)vanadium(V) complexes containing anionic ancillary donor ligands of type, V(NAr)Cl 2 (L) (Ar = 2,6-Me 2 C 6 H 3 , L = aryloxo, ketimide phenoxyimine, etc.) exhibited high catalytic activities for ethylene polymerization in the presence of Al cocatalyst; V(NAr)Cl 2 (O-2,6-Me 2 C 6 H 3 ) showed the exceptionally high activities in the presence of halogenated Al alkyls such as Et 2 AlCl, EtAlCl 2 , etc. (Arylimido)vanadium(V)-alkylidene complexes, V(CHSiMe 3 ) (NAr)(L 0 ) (L 0 = N=C t Bu 2 , O-2,6-i Pr 2 C 6 H 3 ) exhibited the remarkable catalytic activities for ring-opening metathesis polymerization of norbornene. (Imido)vanadium(V) complexes containing the (2-anilidomethyl)pyridine ligand, V(NR)Cl 2 [2-Ar 0 NCH 2 (C 5 H 4 N)] (R = 1-adamantyl, cyclohexyl, phenyl, Ar 0 = 2,6-Me 2 C 6 H 3 , 2,6-i Pr 2 C 6 H 3 ), exhibit the remarkable activities for ethylene dimerization in the presence of MAO, affording 1-butene exclusively (selectivity 90.4 to [99%). The steric bulk of the imido ligand plays an important role in the selectivity, and the electronic nature directly affects the activity.