The invention discloses an epsilon-caprolactone and L-lactide copolymerizing catalyst and a copolymerizing method. The catalyst is a beta-pyridine enol zinc complex. The copolymerizing method comprises the following steps of firstly, adding a beta-pyridine enol zinc catalyst into a methylbenzene solvent; sequentially adding two monomers into a catalyzing system, and performing block copolymerizing reaction; or, simultaneously adding the two monomers into the reaction system according to different ratio, and performing irregular copolymerizing reaction, so as to obtain a block copolymer or an irregular copolymer. The epsilon-caprolactone and L-lactide copolymerizing catalyst and the copolymerizing method have the advantages that the monomer price is low; a zinc element is a necessary element of an organism, the toxicity and pollution are avoided, the catalytic activity is higher, and the polymerizing method is simple; the block copolymer and the irregular copolymer of L-lactide and epsilon-caprolactone with higher molecular weight can be obtained, the defect of a single polymer is overcome, and a synthesized biodegradable copolymerizing material can widen the application range of the polymer.