Abstract submitted to the XXXth International Conference on High Energy Physics July 27 - August 2, 2000, Osaka, Japan _________________________________________________________________________ Measurement of inclusive prompt photon photoproduction at HERA ZEUS Collaboration Abstract First inclusive measurements of isolated prompt photons in photoproduction at the HERA ep collider have been made with the ZEUS detector, using an integrated luminosity of 38.4 pb^-1. Cross sections are given as a function of the pseudorapidity and the transverse energy (\eta^gamma, \E_t^gamma) of the photon, for E_T^gamma > 5 GeV in the gamma p centre-of-mass energy range 134-285 GeV. Comparisons are made with predictions from Monte Carlo models. For forward eta^gamma (proton direction) good agreement is found, but in the rear direction all predictions fall below the data.