A near-infrared spectrometer based on an integrated optical acousto-optic tunable filter (IAOTF) is constructed. In this paper, the characteristic equation and resolution of this kind of spectrometer is first theoretically analyzed, and then the coupling light of three distributed feedback (DFB) lasers centered at different wavelengths, is used as the light source and the emitting spectrum is achieved. At last, data recovery is done with Fourier deconvolution method to improve the resolution of the spectromter to 0.6 nm.