Measurement of prompt photon production in deep inelasitic scattering with ZEUS at HERA Prompt photon production in deep inelastic ep scattering was measured with ZEUS at HERA using an integrated luminosity of 300 pb-1. Isolated photons in the transverse energy and pseudorapidity ranges 5 < E_T < 15 GeV and -0.7 < \eta < 0.9 were observed for virtualities of the exchanged photon of Q^2 > 35 GeV^2. Cross-sections are presented for inclusive prompt photons and for those accompanied by a single jet with E_T > 6 GeV and -1.5 < eta < 1.7. The measured cross sections are compared to theoretical predictions.