There is described an inking apparatus of a printing press, in particular an offset or letterpress printing press, comprising at least one ink duct (11, 12) with an ink supply roller (13, 14), an ink roller train (30) comprising at least one inking roller (31) which receives ink from the at least one ink duct (11, 12), and at least one vibrator roller (15, 16) interposed between the ink supply roller (13, 4) and the inking roller (31), which vibrator roller (15, 16) is swung back and forth between the ink supply roller (13, 14) and the inking roller (31) and intermittently transfers ink from the ink supply roller (13, 14) to the inking roller (31). A circumference of the vibrator roller (15, 16) exhibits an ink-transfer 10 structure (15a, 16a) which reflects a desired inking profile of a printing plate to be inked by the inking apparatus and is designed to modulate a quantity of ink transferred by the vibrator roller (15, 16). The ink-transfer structure (15a, 16a) on the circumference of the vibrator roller (15, 16) is subdivided, in a circumferential direction (y) of the vibrator roller (15, 16), into an integer number 1 (r) of individual ink-transfer portions (15b, 16b) that are repeated with a determined circumferential period (Δy) in the circumferential direction (y), each individual ink-transfer portion (15b, 16b) reflecting the desired inking profile of the printing plate to be inked by the inking apparatus. A contact length (CL) over which the vibrator roller (15, 16) runs in contact with the ink supply roller (13, 204) is equivalent to the determined circumferential period (Δy) of the individual ink-transfer portions (15b, 16b) or to an integer multiple of the determined circumferential period (Δy) of the individual ink-transfer portions (15b, 16b).