Abstract We calculate proton-proton Bremsstrahlung cross sections using the Tabakin separable potentials to generate off-shell nucleon-nucleon t-matrix elements in low partial waves and off-shell one-pion-exchange amplitudes for the higher partial waves. Our results are in good agreement with the experimental values reported by Warner, Halbert, Gottschalk and Thorndike at proton bombarding energies of 48, 62, 158 and 204 MeV, but are at the lower limit of the experimental results of Warner at 30 MeV and of Slaus at 46 MeV. The calculated cross sections in the Harvard geometry decrease monotonically to zero at zero proton energy. We have estimated the effect of rescattering corrections and of non-local corrections to the Bremsstrahlung amplitude and find these terms to be negligible for proton-proton Bremsstrahlung. Our results are insensitive to the choice of Tabakin's “soft-core” or “hard-shell” 1S0 potential, and are insensitive to small changes in the P-wave potentials.