The data recording device comprises a network of carbon nanotubes formed on a flat substrate and constituting microtips operating in conjunction with a substantially flat storage medium. The carbon nanotubes are initially inclined by a predetermined angle comprised between 5.degree. and 40.degree. with respect to the plane of the substrate. The nanotubes flex when they come into contact with the storage medium, parallel to the substrate. The substrate preferably comprises a raised structure designed to act as support for the free ends of the nanotubes to bear on.