Abstract: An apparatus is described for wrapping a compound-curved conductor bar. It includes a winding head which is provided with a motor-driven winding ring equipped with rolls carrying insulating tape. According to the invention, the revolving winding ring is held in five degrees of freedom. For purposes of positioning it relative to the compound-curved conductor bar to be wrapped, the winding ring is adjustable in three orthogonal coordinate directions and can be tilted about two mutually orthogonal axes. The winding head carries a sensing device for measuring its change of position relative to the conductor bar to be wrapped and furnishing correction signals.