The invention relates to a filature winder and a winding method thereof, in particular to a winder for winding elastic fibers on a bobbin and producing winded elastic fibers, and a winding method thereof. The winder comprises a box body, a winding roller, a contact roller, a transverse silk guiding device and a feeding roller, wherein the box body is arranged on a machine frame; the winding roller is arranged on the box body and driven by a power unit and rotates around an axial line of the winding roller; the contact roller contacts the winded peripheric surface during winding of the elastic fibers and rotates around an axial line of the contact roller; the transverse silk guiding device is arranged under a silk guide roller along the advancing direction of the elastic fibers and transversely guides the elastic fibers; and the feeding roller is arranged between the contact roller and the transverse silk guiding device along the advancing direction of the elastic fibers, and rotates around an axial line of the feeding roller. The winder has the advantages of improving the stability of the elastic fibers and being convenient to improve the product quality of the next procedure.