The invention provides a flexible memristor with a self-repairing capability and a production method. The method comprises the steps: taking a metal sheet as a memristor positive electrode, taking manganese dioxide deposited on carbon fiber paper (CFP) as a memristor negative electrode, taking a ZnSO4-MnSO4 weak acid solution as an electrolyte solution, and carrying out an oxidation/reduction reaction on a manganese dioxide film through the diffusion of ions in the solution. A structure capable of generating an electrochemical reaction spontaneously is formed, and the resistance change of the memristor is realized. According to the invention, the liquid electrolyte is used as the dielectric layer, and the memristive performance is realized by a thin film layer formed by the oxidation/reduction reaction of the liquid electrolyte and the negative electrode so that the reaction efficiency is improved by utilizing the interface reaction, the ion concentration can be adjusted according to different requirements, and the adjustment of the memristive performance is further realized. The invention provides the production method of the liquid flexible memristor, which is easy to realize physically, simple in production process, stable in quality, high in circularity, low in cost and high in production efficiency.