Methods for producing ceramic multi-layer components and multi-layer components made by such methods. A method includes the following steps: providing green layers for the ceramic multi-layer components, stacking the green layers into a stack and subsequently pressing the stack into a block, singulating the block into partial blocks each having a longitudinal direction, thermally treating the partial blocks and subsequently machining surfaces of the partial blocks. Recesses are produced on the surfaces of the partial blocks during the machining, and the partial blocks are singulated.