The production of isolated photons in deep-inelastic scattering ep -} e gamma X is measured with the H1 detector at HERA. The measurement is performed in the kinematic range of negative four-momentum transfer squared 4[.lt.]Q**2[.lt.]150 GeV**2 and a mass of the hadronic system W_X [.gt.]50 GeV.
The analysis is based on a total integrated luminosity of 227 pb-1.