A flexographic press with one or more inking units (12) on the circumference of a common counter-pressure cylinder (10), having a printing cylinder (14; 14') and an inking roller (16) and the printing cylinder of which can be operated independently of the counter-pressure cylinder. Each inking roller (16) can be driven via a toothed gear system (32, 40; 32') with a fixed transmission ratio via a central wheel (24) fixed on the shaft (22) of the counter-pressure cylinder (10).