The invention provides a method for extracting rhenium from rhenium-rich concentrates. The method comprises the following steps of: mixing the rhenium-rich concentrates with quick lime, grinding a mixture, feeding oxygen-enriched air into the mixture, and roasting the mixture at a temperature of 400-900 DEG C; sizing and immersing the roasted mixture by using water, and filtering after the immersion is finished; adding an impurity removing agent into the filtered liquid so as to remove calcium and trace heavy metal ions; filtering after removing impurities; and carrying out ion exchange process on the filtered liquid, which is subjected to impurity removal and filtering, through anion exchange resin, obtaining ammonium rhenate solution after desorption, and obtaining ammonium perrhenate through reconcentration and crystallization. According to the method provided by the invention, quick lime oxygen-enriched roasting and water immersion are used, so that the operations of decoppering, arsenic removal and desulfuration are carried out, therefore rhenium, arsenic and sulfur are oxidized sufficiently under the oxygen enrichment condition; the rhenium, arsenic and sulfur are combined with calcium oxide, so that insoluble substances are generated; the effects of removing copper, arsenic and sulfur are more thorough in the water immersion condition, and the disadvantage that the calcium content is high in the quick lime roasting and water immersion technology is solved through using the impurity removing agent to remove impurities; and the recovery rate of rhenium is high, so that the method provided by the invention is favorable to industrialized application.