Gamma rays with energies of 0.618+/-0.003, 0.640+/-0.009, 0.67+/-0.02, 0.710+/-0.010, 1.258+/-0.007, and 1.333+/-0.010 Mev have been observed in the decay of 18-min Br80, and their intensities determined. Of these, only the 0.618-Mev gamma ray has been previously reported. Two new levels are proposed at 1.26 and 1.33 Mev in Kr80, and the branching (crossover/cascade) determined for these levels as 0.46+/-0.08 and 0.14+/-0.06, respectively. The 0.67-Mev gamma ray is assigned to the first 2+ state of Se80, whose energy has been determined as 0.667+/-0.004 Mev from the (p, p'γ) reaction. Excitation of the second level of Se80 at 1.44 Mev was not observed. The measured value of 0.62-Mev γβ+ of 2.6+/-0.1 has been used to evaluate ft values for the transitions to various levels in Se80 and Kr80. The allowed transitions from the 1+ ground state of Br80 to the ground state and first two levels of both Se80 and Kr80 are found to be successively hindered, in accord with the empirical rule of Sakai.