A method of producing a linear nanofibrous structure in an AC electric field from a polymer solution or melt in which a spinning area with a supercritical AC electric field intensity is formed on a spinning electrode, wherein in the spinning area, nanofibers are formed, which are carried away from the spinning electrode by the action of an electric wind in the direction of the maximum values of the gradient of the generated electric fields, wherein at least one spinning area with a supercritical AC electric field intensity and finite length is formed on the linear spinning electrode, wherein from the spinning area, the emerging nanofibers are carried by an electric wind in the direction of the maximum values of the electric field gradient away from the spinning area towards a moving electrically neutral collector, on whose circumferential surface which is located against the spinning area and forms the collection area of the moving electrically neutral collector, are deposited in the form of a fluffy band of nanofibers, which, with the movement of the electrically neutral collector, continuously moves to the withdrawal area, in which it is withdrawn from the surface of the electrically neutral collector by tensile force and subsequently wound onto a bobbin of a winding device, wherein the nanofibers are at least partially parallelized due to the tensile force.