We present a comprehensive study of the angular distribution of photons emitted during resonant two-photon electron capture by H-like uranium ions. Focusing on the energies of incident electrons, for which the dielectronic recombination (DR) dominates, we analyze the angular emission spectrum of the most significant cascade transitions, which make the main contribution to the total cross section. In particular, we consider the cascade transitions that occur with the formation of (1s2s) and (1s2p) intermediate states. We investigate the angular distribution of the emitted photons beyond the single-photon approximation. We separately consider the contributions of the DR and the radiative recombination channels and demonstrate that the two-photon angular distribution shows strong interference between these channels.