A method for producing flexographic printing plates. The method has the following steps: (a) producing a mask by imaging the digitally imagable layer, (b) exposing the photopolymerizable, relief-forming layer through the mask with actinic light, and photopolymerizing the image regions of the layer, and (c) developing the photopolymerized layer by washing out the unphotopolymerized regions of the relief-forming layer with an organic solvent, or by thermal development, wherein step (b) contains at least two exposure cycles with actinic light with an intensity of 100 to 5000 mW/cm2 from a plurality of UV-LEDs, the energy input into the photopolymerizable, relief-forming layer per exposure cycle being 0.1 to 5 J/cm2.