In an accessory unit drive arrangement of an internal combustion engine the accessory unit is mounted on the engine such that its drive shaft is arranged in axial alignment with an engine-operated shaft. The drive shaft is coupled to the engine-operated shaft by a coupling structure which includes a pin which projects axially eccentrically from the end face of the engine-operated shaft and engages a carrier mounted on the drive shaft of the accessory unit. The engine-operated shaft is supported by a friction bearing and a lubricant collecting space is in communication with the friction bearing so as to collect lubricant leaking from the bearing for the lubrication of the coupling structure.