A measurement of prompt photons in photoproduction in ep collisions with the H1 detector is presented. The analysis is based on data taken in the years 2004-2007, corresponding to a total integrated luminosity of 340 pb -1. The photon signal is extracted using a multivariate analysis based on cluster calorimeter shower shape variables. Inclusive and exclusive cross sections are presented as a function of the transverse energy EγT in the range 5 to 15 GeV and the pseudorapidity ηγ range -1.0 to 2.4. The momentum fractions xγ and xproton of the incident photon and proton respectively carried by the constituents participating in the hard scattering process are measured as well. The results are compared to predictions from theoretical calculations.