A method for driving a satellite offset press, and a satellite offset press which, with little expenditure, permits multicolor printing in one pass. A satellite offset press, in which form cylinders and associated transfer cylinders are driven synchronously, while in each case segments located in the circumferential direction of the form cylinders and of the transfer cylinders and also of the transfer cylinders and of an impression cylinder interacting with the latter roll on one another in accurate register with a sheet held thereon, following each full revolution. The speed of the impression cylinder is reduced and increased again, so that the transfer cylinders lead by at least one segment length in the circumferential direction.