An elastic yarn winding method for winding an elastic yarn in succession by a plurality of bobbin holders, and for transferring a continuously running elastic yarn from a full bobbin to an empty bobbin. The method comprises steps of putting, along a surface of the empty bobbin in some area, the elastic yarn between the full bobbin and the empty bobbin, and of contacting the elastic yarn between the full bobbin and empty bobbin with the elastic yarn present at the upstream side of the empty bobbin. A winder for processing the method provides a yarn transfer device for winding the elastic yarn on the empty bobbin and for holding the elastic yarn in contact with the elastic yarn present at the upstream side of the empty bobbin.