In a method of manufacturing a multilayer ceramic electronic component, polishing is performed so that intersection lines extending from external surfaces of a green element body and interfaces between a green chip to be formed into a laminate portion and ceramic side surface layers are each located within a curved-surface formation range of a chamfer portion. Accordingly, since a green ceramic material is extended so as to fill the interfaces like so-called “putty”, and the adhesive strength between the green chip to be formed into the laminate portion and each of the ceramic side surface layers is increased.