NOVELTY - Barbary wolfberry fruit is added to organic solvent, stirred, extracted, extracted solution is combined at reduced pressure, concentrated and solvent is recycled, to obtain concentrate. The resulted concentrate is mixed with entraining agent, primary-stage molecular distillation and secondary molecular distillation are performed. The distillated obtained is dissolved in petroleum ether, dissolved in ethanol aqueous solution and combined. The ethanol aqueous solution layer is decompressed, condensed, dried and purified using simulated moving bed, to obtain 85-95% zeaxanthin.    USE - Method for extracting zeaxanthin (claimed).    ADVANTAGE - The zeaxanthin having high purity is extracted by economical and environmentally-friendly method.    DETAILED DESCRIPTION - Barbary wolfberry fruit is added to organic solvent in an amount 3 times more than amount of organic solvent at 5-45 degrees C, stirred for 2 hours, extracted for 2-3 times, the extracted solution is combined at reduced pressure, concentrated and solvent is recycled, to obtain concentrate. The resulted concentrate is mixed with entraining agent in volume ratio of 1:1-7 at vacuum degree of 10-20 Pa, distilled at 90-l00 degrees C and material flow rate of 1-3 ml/minute, condensed at 25 degrees C and film is wiped at 250-450 rpm. The water is circulated at 70-80 degrees C, primary-stage molecular distillation is performed and solvent is removed. Then, solvent is removed by performing secondary molecular distillation at 140-l60 degrees C, vacuum degree of 10-1 Pa and material flow rate of 1-3 ml/minute, condensed at 15-25 degrees C and film is wiped at 250-450 rpm. The circulating water is at 70-80 degrees C. The distillate obtained after distillation is dissolved in petroleum ether in ratio of 1 kg:1-15 ml. The resulted product is extracted using 40-60% aqueous ethanol solution for 2 to 4 times and aqueous ethanol solution layer is combined. The aqueous ethanol solution layer is decompressed, condensed and dried, to obtain orange red oil containing more than 50% zeaxanthin. The resulted product is purified using simulated moving bed chromatographic system consisting eluting pump, injection pump, extraction pump, flow meter, chromatographic column, electromagnetic valve, check valve, programmable logic controller and computer. The eluting pump flow rate is 0-1000 mL/minute, pressure is 0-10 MPa, injector pump flow rate is 0-30 mL/minute and pressure is 0-8 MPa, extraction pump flow rate is 0-240 mL/minute, pressure is 0-10 MPa and operating temperature 20-25 degrees C. The column is packed with filler containing reversed phase silica gel containing octadecylsilica having particle size of 30-40 mu m. The mobile phase is ethanol aqueous solution with volume ratio of 1:1. The volume concentration of the ethanol aqueous solution is 98%. A sample solution is prepared by taking orange red oil, more than 50% zeaxanthin is dissolved in more than 98% aqueous ethanol solution, depositing, filtering in filter having film of 0.45 mu m. The sample solution is supplied into simulated moving bed chromatography system. The resulted product is absorbed in column, concentrated, residue obtained is washed using aqueous ethanol solution, dried using film rotary evaporator and recrystallized using mixture of 98% aqueous ethanol solution and coarse silica gel in weight ratio of 0.8-1.5 kg:1 L, maintained at 0-6 degrees C for 4-8 minutes, to obtain orange red precipitate. To the resulted product ethanol aqueous solution is added, maintained for 1.8-2.5 hours, filtered, rinsed using water, precipitated out as colorless product and precipitate is dried, to obtain 85-95% zeaxanthin. The organic solvent is aqueous ethanol solution having volume percentage concentration of more than 50%, aqueous methanol solution having volume percentage concentration of more than 50%, acetone or ethyl acetate. The entraining agent is higher fatty acid glycerides of vegetable oil. The volume ratio of ethanol aqueous solution and petroleum ether is 5:1.