In a method for additive manufacturing of at least one metallic or ceramic component, before at least one green part is built up layer by layer in a printing device, a support layer is applied to a surface of a printing support having recesses, so that the green part is built up layer by layer on the support layer, whereupon the green part lying on the printing support is removed from the printing device and unpolymerized material is removed from the green part, wherein removed material is collected in the recesses of the printing support or is drained off through the recesses, and wherein the cleaned green part is debinded and sintered.