PURPOSE: A continuous recovery method for the separation of uranium and vanadium is provided to apply an optimal leaching condition, thereby increasing the leaching rates of the uranium and the vanadium from a black slate and efficiently extracting the uranium and the vanadium from the black slate. CONSTITUTION: A continuous recovery method for the separation of uranium and vanadium includes: a step (S10) of crushing and pulverizing a black slate; a step (S20) of primarily leaching the crushed and pulverized black slate; a step (S30) of separating the primarily leached black slate into solid and liquid; a step (S40) of secondarily leaching the separated solid, and then secondarily separating the solid into solid and liquid; a step (S50) of re-leaching the secondarily separated liquid with the crushed and pulverized black slate, and then primarily separating the leached liquid into solid and liquid; a step (S60) of solvent-extracting the uranium from the primarily separated liquid; a step (S70) of washing and stripping a remaining organic solution after solvent-extracting the uranium; a step (S80) of depositing the uranium in a remaining stripping solution after stripping, separating the uranium into solid and liquid, drying a precipitate from the separation of the uranium, and then recovering the uranium; a step (S90) of oxidizing the vanadium from a remaining raffinate after solvent-extracting the uranium, and then solvent-extracting the vanadium; a step (S100) of washing and stripping the remaining organic solution after solvent-extracting the vanadium; and a step (S110) of depositing the vanadium in the remaining stripping solution after stripping, separating the vanadium into solid and liquid, calcining a precipitate from the separation of the vanadium, and then recovering the vanadium. [Reference numerals] (S10) Step of crushing and pulverizing a black slate; (S100) Step of washing and stripping the remaining organic solution; (S110) Step of depositing the vanadium in the remaining stripping solution, separating the vanadium into solid and liquid, calcining a precipitate from the separation of the vanadium, and then recovering the vanadium; (S20) Step of primarily leaching the crushed and pulverized black slate; (S30) Step of separating the primarily leached black slate into solid and liquid; (S40) Step of secondarily leaching the separated solid and then secondarily separating the solid into solid and liquid; (S50) Step of re-leaching the secondarily separated liquid with the crushed and pulverized black slate and then primarily separating the leached liquid into solid and liquid; (S60) Step of solvent-extracting the uranium from the primarily separated liquid; (S70) Step of washing and stripping a remaining organic solution after solvent-extracting the uranium; (S80) Step of depositing the uranium in a remaining stripping solution, separating the uranium into solid and liquid, drying a precipitate, and then recovering the uranium, and then recovering the uranium; (S90) Step of oxidizing the vanadium from a remaining raffinate and then solvent-extracting the vanadium