The differential cross section for the scattering of photons by the proton was measured in the entire energy range Eγ=250–500 MeV and at scattering angle θγlab=76°±2.5°.The tagged photon beam of MAMI accelerator was used and both the scattered photon and the recoil proton were detected. The results agree reasonably well with the ones of recent experiments at lower energies and with the prediction of calculations based on dispersion‐relation theory.