Abstract: A wrapping machine for wrapping a generally toroidal body having an opening therethrough with an elongated length of wrapping material has supports for a body to be wrapped with the central axis of the opening through the body in a predetermined position and a shuttle for carrying a spool of wrapping material and for the controlled dispensing of the wrapping material. A wrapping frame has four transfer assemblies arranged in a generally rectangular array, one of the transfer assemblies being positionable through the opening in the body. The transfer assemblies include first and second transfer assemblies each having rails for receiving the shuttle at one end and conveying the shuttle to the opposite end, the first and second transfer assemblies being positioned at opposite sides of the rectangular array.