Résumé : The first measurement of diffractive scattering of quasi-real photons with large momentum transfer γ p → γ Y, where Y is the proton dissociative system, is made using the H1 detector at HERA. The measurement is performed for initial photon virtualities Q 2 < 0.01 GeV 2. Single differential cross sections are measured as a function of W, the incident photon-proton centre of mass energy, and t, the square of the four-momentum transferred at the proton vertex, in the range 175 < W < 247   GeV and 4 <