The Rydberg state spectra of Br2 were measured by the method of (2+1) multiphoton ionization with a pulsed, tunable and narrow linewidth (0.08 cm-1) UVlaser. The 4d vibrational series has been obtained in the region of 70000-71500 cm-1. The high resolution vibronic spectra of (v',v")=(1,0),(2,0) have been measured. Their rotational constants B'79,81 are 0.08832 and 0.08805 cm-1 respectively. The angular momemtum Q is suggested to be 1.