Rotational structures and angular momenta of the two observed [(II3/2)-I-2]4d gerade Rydberg states of bromine in the region 68 800-72 000 cm(-1) have been studied by high resolution resonance enhanced (2+1) multiphoton ionization spectroscopy. The rotational constants have been obtained and the angular momenta of the two [(II3/2)-I-2]4d series have been assigned for the first time. These results are further determined and confirmed by computational spectral simulations. The angular momenta of the two observed [(II3/2)-I-2]4d Rydberg states are concluded to be Omega=1. Comparison is also made for these two Rydberg states.