A method for producing a multilayer component (21) is specified, which involves providing a body having dielectric layers (3) arranged one above another and first and second electrically conductive layers (4, 84, 5, 85) arranged therebetween. The first conductive layers (4, 84) are connected to a first auxiliary electrode (6) and the second conductive layers (5, 85) are connected to a second auxiliary electrode (7). The body (1, 81) is introduced into a medium and a voltage is applied between the first and second auxiliary electrodes (6, 7) for producing a material removal. Furthermore, a multilayer component is specified, which has depressions (20) formed by an electrochemically controlled material removal.