A method for printing a digitally-stored image on the surface of a cylindrical object comprises the steps of axially moving the object along a line of travel that is aligned with the object's long axis until it is underneath one or more printheads, each of which have a plurality of ink nozzles that may be arranged in one or more columns while simultaneously rotating the object with respect to the printheads and simultaneously causing a pre-determined number of nozzles to eject ink onto the surface of the object.