A method of nanofibers production from a polymer solution uses electrostatic spinning in an electric field created by a potential difference between a charged electrode and a counter electrode. The polymer solution for spinning is supplied into the electric field using the surface of a rotating charged electrode. On a part of the circumference of the charged electrode near to the counter electrode, a spinning surface is created for attaining a high spinning capacity. In a device for carrying out the method, the charged electrode is pivoted and part of its circumference is immersed in the polymer solution. The free part of the circumference of the charged electrode is positioned opposite the counter electrode.