The invention discloses a stable wire conveying mechanism which comprises a wire storage barrel, four guide wheels, a counterweight constant-tension device, an electrode wire and four limiting cams. The electrode wire penetrates a small center hole of a workpiece which is clamped on a working tabletop, the four guide wheels includes a first upper guide wheel, a second upper guide wheel, a third upper guide wheel and a fourth lower guide wheel, the first upper guide wheel, the second upper guide wheel and the third upper guide wheel are positioned at the upper end of the workpiece, the fourth lower guide wheel is positioned at the lower end of the workpiece, the counterweight constant-tension device is positioned between the first upper guide wheel and the second upper guide wheel, two limiting cams are arranged on the lower portion of the third upper guide wheel, the other two limiting cams are arranged on the upper portion of the fourth lower guide wheel, and the electrode wire can be driven by the wire storage barrel to reciprocate through the four guide wheels. Owing to the mode, the stable wire conveying mechanism has the advantages that the stable wire conveying mechanism has an excellent electrode wire limiting function, constant tension can be applied to the electrode wire, accordingly, shaking of the electrode wire can be suppressed, and the workpiece machining precision and the smoothness of the workpiece can be improved.