A method of producing a multi-layer ceramic electronic component includes: forming a base film formed from an electrically conductive material on a surface of a ceramic body including internal electrodes laminated and drawn to the surface in such a manner that the base film is connected to the internal electrodes; forming a first nickel film on the base film by an electrolytic plating method; performing, after forming the first nickel film, heat treatment in a weakly reducing atmosphere at a temperature equal to or higher than a temperature at which the first nickel film is recrystallized; and forming a second nickel film on the first nickel film, on which the heat treatment is performed, by an electrolytic plating method.