The interaction between electrons and organized organic thin films was investigated by measuring the energy distribution of photoelectrons injected from a thin silver film coated with thin organic layers. Electrons with an energy above approximately 0.8 eV were transmitted ballistically through an organic layer containing up to five monolayers each about 2 nm thick. The transmission of low-energy electrons is controlled mainly by an electrostatic barrier perpendicular to the surface. Both elastic and nonelastic scattering were found to be unimportant on the scale of a single monolayer. The mean free path for electrons with an energy of 1.15 eV was found to be about 26 nm.