A process is disclosed for producing non-woven flat objects which are reinforced by means of a reinforcing inlay, in which the reinforcing inlay is electrostatically charged, then coated with a thermoplastic binder in powder form, the excess powder removed, and the inlay joined with at least one layer of a fiber fleece. The electrostatic charge is preferably produced by frictional contact of the inlay with an electrically nonconductive material, the coating is preferably accomplished by conducting the charged inlay through a fluid bed of said powder, the removal of excess powder is preferably accomplished by blowing air through the coated inlay, and the joining of the inlay with the fiber fleece is preferably accomplished by heat and pressure.