The invention provides a method for arranging the inking for a pressrun in a rotary printing machine. The rotary printing machine has an inking mechanism and a dampening mechanism. The ink quantity transmitted by an ink ductor is adjusted by zone via ink zone ductor blades. When the dampening mechanism is switched off, the run-up curve of the inking mechanism is initially adjusted at an average surface coverage over the entire surface, so that a constant ink density corresponding to the average surface coverage results on the printing stock for all printing speeds. The run-up curve of the dampening mechanism is adjusted subsequently, wherein the ink zone ductor blades are in different positions which correspond to various surface coverage values of a printing subject customarily printed by the printing machine. The adjustment is effected in such a way that the ink zones with average surface coverage deliver a constant ink density to the printing stock for all printing speeds. The surface coverage in ink zones not having the average surface coverage is measured at different printing speeds. A measurement for the readjustment of the ink zone measuring devices is obtained from the deviation of the measured surface coverage from the reference surface coverage. For each of the surface coverage values, characteristics lines are obtained for the readjustment of the ink zone measuring devices which is dependent on the printing speed.