High-spin states of 99Rh were studied through in-beam γ-ray spectroscopy by using the reaction 68Zn(37Cl, α2n). The upper part of the band based on the g9/2 proton orbital was rearranged in four parallel cascades. Negative parity was tentatively assigned for the side-band that previously had no parity assignment. This negative-parity band was interpreted as having the configuration of π(g9/2)5ν[(d5/2g7/2) 3 (h11/2)] and extended up to 51/2(-), which is possibly a terminating state. The band based on the p1/2 proton orbital was observed up to 292- and its property was compared with those of neighboring odd-Z nuclei from the two different viewpoints, one of which is a weakly deformed soft rotor with spin alignments and the other is vibrational to rotational evolution along the band. © 2013 American Physical Society.