A method for catalytic polymerization of alpha-olefin monomers using an ultra-high activity non-metallocene pre-catalyst featuring an amine bis(phenolate) ligand-metal chelate, having general formulas of [{(O)1R1R2R3R4(C6)1(CH2)1(RnY-T)N(CH2)2(C6)2R5R6R7R8(O)2}MX1X2] and [{(O)1R1R2R3R4(C6)1(CH2)1(RnY-T)N(CH2)2(C6)2R5R6R7R8(O)2}MX3], where, M, O, and N, are metal, oxygen, and, nitrogen; X1, X2, and X3, are ligands bonded to M; R1 through R8 are radicals; (RnY-T) is an optional non-donor or donor group bonded to N. The relatively stable and simply synthesized pre-catalyst is activated by a co-catalyst under mild reaction conditions, producing exceptionally reactive polymerization of a wide variety of alpha-olefin monomers, and forming a variety of poly(alpha-olefin) products, having high molecular weight and low molecular weight distribution (PDIs close to 1). Living polymerization is performed at or above room temperature, along with achieving block co-polymerization of alpha-olefin monomers at room temperature, and producing polymers and oligomers having a wide range of molecular weights. The catalyst formed during reaction remains "alive' for as long as 31 hours, for producing a polymer with a molecular weight as high as 450,000 grams/mole.