The invention belongs to the technical fields of petroleum, coal and natural gas chemical industry, biomass processing and novel catalytic materials, and provides a copper-based polymer hybrid catalyst used in selective hydrogenation of acetylene and a preparation method thereof. In the invention, copper in different valence states is used for catalyzing a polymerization reaction of acetylene at high temperature to form a copper-containing polymer, a copper-based polymer hybrid material is generated in situ when acetylene-containing feed gas passes through a loaded copper-based catalyst at high temperature, and an activity assisting component with high hydrogen dissociation capability is introduced into a catalyst system, so that continuous growth of an acetylene polymer can be suppressed, and the yield of acetylene is increased. Compared with the conventional catalyst, the copper-based polymer hybrid catalyst has the advantages of extremely high acetylene selectivity (95 percent), very high catalytic activity (106 ml/g*h), wide operating window, applicability to front-end hydrogenation and back-end hydrogenation processes, reduction in production cost, extremely small amount of generated ethane and green oil under the condition that the amount of acetylene is extremely excessive, and reduction in environmental pollution.