The invention relates to a method for production of polymeric nanofibers, in which polymeric nanofibers are created due to the action of force of an electric field on solution or melt of a polymer, which is located on the surface of a spinning electrode, whereby the electric field for electrostatic spinning is created alternately between the spinning electrode (1), to which is supplied alternating voltage, and ions (30, 31) of air and/or gas generated and/or supplied to proximity of the spinning electrode (1), whereby according to the phase of the alternating voltage on the spinning electrode (1) polymeric nanofibers with an electric charge of opposite polarity and/or with segments with an electric charge of opposite polarity are created, which after their creation cluster together under the influence of the electrostatic forces into linear formation in the form of a tow or a band, which moves freely in space in direction of gradient of the electric fields away from the spinning electrode (1). The invention further relates to a linear formation from polymeric nanofibers fabricated by this method.