The rotational structures of the photofragment excitation spectrum of N2O+(A2Σ+) at high vibrational levels have been studied experimentally. The parent N2O+(X2Π) ions were prepared by (3+1) resonance-enhanced multiphoton ionization of jet-cooled N2O molecules by 36055nm laser beam，and were excited by another laser to the predissociative A2Σ+ state in the range of 280—320nm. Two types of rotational transition，i.e.，2Σ+←2Π and 2Π←2Π，have been clearly observed for a series of vibronic transitions. The rotational constants and spin splitting constants have been obtained from the spectral analysis.