Nanofibers are formed from a polymer material by rotating a conductive rotating container having a plurality of small holes while supplying a polymer solution formed by dissolving a polymer material in a solvent into the rotating container, charging the polymer solution discharged from the small holes of the rotating container by charging means, and drawing the discharged filamentous polymer solution by centrifugal force and an electrostatic explosion resulting from evaporation of the solvent. The nanofibers from this production step are oriented and made to flow from one side toward the other side in a shaft center direction of the rotating container by a reflecting electrode and/or blowing means, or those nanofibers are deposited, to produce a polymer web. The nanofibers and the polymer web using these nanofibers can be produced uniformly by a simple configuration with good productivity.