A method for synthesizing poly(butylene succinate-co-butylene adipate) (PBSA), including: a) adding raw materials including succinic acid, adipic acid, and 1,4-butanediol into a reaction still; increasing the temperature in the reaction still to 130° C., and stirring the raw materials, then keeping the temperature in the reaction still at 170-200° C., and dehydrating for 1-3 hours at atmospheric pressure, to yield an oligomer of PBSA; and b) decreasing the temperature of the reaction still to 100° C., and adding a composite catalyst system, the total addition of the composite catalyst system accounting for one ten-thousandth to one ten-millionth of a total weight percentage of the raw materials; uniformly stiffing and mixing the composite catalyst system and reactants, slowly vacuum pumping the reaction still, heating the reaction still to a temperature of 200-240° C. and allowing the composite catalyst system and the reactants to react for 10-20 hrs.
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