The emission of real photons from a momentum-anisotropic quark-gluon plasma (QGP) is affected by both the collective flow of the radiating medium and the modification of the local rest frame emission rate due to the anisotropic momentum distribution of partonic degrees of freedom. In this paper, we first calculate the photon production rate from an ellipsoidally momentum-anisotropic QGP including hard contributions from Compton scattering and quark pair annihilation and soft contribution calculated using the hard thermal loop approximation. We introduce a parametrization of the nonequilibrium rate in order to facilitate its further application in yield and flow calculations. We convolve the anisotropic photon rate with the space-time evolution of QGP provided by 3 þ 1d anisotropic hydrodynamics to obtain the yield and the elliptic flow coefficient v 2 of photons from QGP generated at Pb-Pb collisions at the LHC at 2.76 TeV and Au-Au collisions at the RHIC at 200 GeV. We investigate the effects of various parameters on the results. In particular, we analyze the sensitivity of the results to initial momentum anisotropy.