Abstract: A method for winding a covered yarn in a covered yarn manufacturing machine. A non-elastic yarn is supplied from a wrapping yarn bobbin and is wrapped around a core yarn made of an elastic yarn to form a covered yarn. The covered yarn is traversed by a traverse guide along a winding bobbin and is wound around the winding bobbin. The traverse guide is displaced along the winding bobbin to a position outside a normal traversing region when the non-elastic yarn on the wrapping yarn bobbin has almost consumed. Thereafter, the covered yarn manufacturing machine is stopped. Then, the consumed wrapping yarn bobbin of non-elastic yarn at supply is replaced by a new wrapping yarn bobbin of non-elastic yarn. The covered yarn manufacturing machine is restarted. The above-described steps of the displacing, the stopping, the replacing and the restarting are repeated with regard to one winding bobbin.