The invention relates to a carbon dioxide production method, and particularly discloses a production method of a food grade liquid carbon dioxide product for recycling resurgent gases, which comprises the following steps of: (1) compression process, (2) dealkylation process, (3) purification process, (4) liquefaction process, and (5) distillation and purification process, wherein in the purification process, an impurity heating desorbing step is used for heating the adsorbent, so impurities which are adsorbed by the adsorbent are heated to be desorbed, the adsorbent obtains adequate resurgent gas flow, and a cooling adsorbent step is used for cooling the adsorbent, and the gas flows return to the carbon dioxide raw gas which contains the impurities. Because of the production method of the food grade liquid carbon dioxide product, the contents of methane and ethylene in a food grade liquid carbon dioxide product are greatly reduced, and are lower than the international standard, meanwhile, the resurgent gases of a purification tower are recycled, so the utilization ratio of the carbon dioxide raw gases which contain the impurities is greatly improved and is improved to 88% from 76%, the yield of the food grade liquid carbon dioxide is increased, the production cost is reduced, and the emission of the greenhouse gases is greatly reduced.