The invention relates to a method for leaching vanadium in vanadium-containing stone coal by wet process. The method is characterized in that 98 percent of sulfuric acid is added into vanadium-containing stone coal, water is added to control the liquid-solid weight ratio, heating is carried out with the reaction temperature controlled between 70 DEG C to 100 DEG C, reaction lasts for 7 to 10 hours, and after liquid-solid separation, leachate is obtained; according to the total volume of the leachate, 30 percent to 70 percent of the leachate is taken out along with 98 percent of sulfuric acid, additional vanadium-containing stone coal is added, and the process is repeated; 10 percent of P204 and 5 percent of TBP which are diluted by kerosene are used to extract the leachate left each time, and sulfuric acid is used to strip the loaded organic phase; and after sodium chlorate is added in the stripped leachate, aqueous ammonia is added to regulate the pH value, precipitate is filtered, washed and calcined under the temperature of 550 DEG C, and thereby vanadium pentoxide is obtained. The method utilizes the residual acid in the leachate. The method has the advantages of high vanadium-leaching rate, less reagent consumption and little pollution. The method is applicable to the leaching of vanadium in vanadium-containing stone coal.