The invention relates to a method for generative production of relief printing plates, wherein a support with a polymeric substrate layer and a laser-ablatable mask layer is provided, the polymeric substrate layer containing a first binder. A mask with openings corresponding to pixels is produced by imagewise laser ablation of the mask layer. A liquid containing a reactive monomer is then applied over the surface of the mask-covered polymeric substrate layer, and the liquid or the reactive monomer diffuses through the openings of the mask into the polymeric substrate layer for a defined exposure time so as to form a relief. The excess liquid or the excess monomer and optionally the mask are removed from the surface, and the resulting relief is fixed by crosslinking.