The invention relates to an inking roller for an inking unit of an offset printing press wherein the inking roller includes a number of zones arranged in the direction of the axis of rotation and at least one ink reservoir in the interior of the inking roller. In each of the number of zones, the at least one ink reservoir is connected to at least one ink exit in the circumferential surface of the inking roller. In inking units of offset printing presses, ink is frequently supplied from an ink fountain or ink reservoir to a group of inking unit rollers by means of an ink fountain roller and ink metering devices arranged along the axis of rotation of the ink fountain.