Container printing arrangement for printing bottles or similar containers on an outer surface thereof. The container printing arrangement comprises one or more printing stations and a container conveyor. The printing station has a print head, a conveyor arrangement, and transfer elements which are moved by the conveyor arrangement. The transfer elements each comprise a first resilient layer and a second resilient layer which supports the first resilient layer. The first resilient layer has a transfer surface which receives a print image from the print head, and then transfers the print image onto a container.