The reflection factor of neutrons by phantoms was determined experimentally. Two kinds of phantom were used in the experiments, resulting in well coinciding data. This phenomenon indicates that the reflection factor is determined by the surface tissue lying within several centimeters of the skin surface, and is independent of the size and shape of the phantoms. The reflection factor was found to fall only very slowly with energy, providing that a thermal neutron detector on the surface of the human body may be used to measure the dose-equivalent of neutrons of incident energies up to 10 keV.