Radiative Decay of the Free Neutron QED predicts that beta decay of the neutron into a proton, electron and antineutrino should be accompanied by a continuous spectrum of soft photons. While this inner bremsstrahlung branch has been previously measured in nuclear beta and electron capture decay, it has never been observed in free neutron decay. The radiative decay mode of free neutrons, measuring photons in coincidence with both the emitted electron and proton has been observed for the first time. A branching ratio of (3.13 ± 0.34) × 10^-3(68 per cent level of confidence) in the energy region between 15 and 340 keV was determined, where the uncertainty is dominated by systematic effects. The value is consistent with the predictions of QED and chiral perturbation theory; the characteristic energy spectrum of the radiated photons, which differs from the uncorrelated background spectrum, is also consistent with the calculated spectrum. This result may provide opportunities for more detailed investigations of the weak interaction processes involved in neutron beta decay.