A process and apparatus for producing nanofiber and polymer web, the electroconductive rotary vessel (1, 36) having a plurality of small holes (3) is rotated while supplying a polymer solution (11), prepared by dissolving a polymer material in a solvent, into the rotary vessel (1, 36). Electric charges are applied by electrifying means (14, 19) to the polymer solution (11) which flows from the small holes (3) in the rotary vessel (1, 36). The flowout linear polymer solution (11) is stretched by electrostatic explosion induced by centrifugal force and the evaporation of the solvent to produce nanofibers (f) formed of a polymer material. The nanofibers (f) in the course of the production thereof are allowed to flow so as to be deflected from one side to the other side in a shaft center direction of the rotary vessel (1, 36) by a reflection electron (16) and/or air blow means (34, 46, 59) and to be deposited to produce a polymer web, whereby nanofibers and a polymer web using the nanofibers can be produced with good productivity uniformly and in a simple construction.