The invention relates to a method of producing drug-eluting stents. The drug-eluting stent has a distensible tubular body formed by connected filaments, areas of the top side, the side surface and the internal surface and a drug-eluting polymer coating of the selected drug. The method comprises a. placing the tubular body of the stent on a fastener which contacts with the internal surface of the tubular body to fasten the stent body, so that the fastener making the tubular body rotate in an axial direction; b. placing a guide tube on the position near the tubular body on the fastener, when the stent rotates on the fastener and moves in an axial direction relative to the guide pipe, a drug-polymer solution with a viscosity of 2-2000 centipoise contained in a pressure accumulator communicated with the guide tube being coated directly from the guide pipe to the top side area of the filaments sent through the guide pipe; and c. controlling the moving speed of the guide tube relative to the filaments stent and the transferring speed of materials from the guide tube to the accumulator, therefore, the drug-polymer solution can be only coated on the top side area and the side surface areaof the stent.