Acousto-optic tunable filter has many merits such as, wide spectrum range, rapid tuning large aperture angle and narrow band pass and etc.. In this work, the authors design a noncolliner acousto-optic tunable filter considering the rotatory property of TeO2. Moreover, we evaluate the performance of the acousto-optic tunable filter theoretically and experimentally and the experimental results are in accordance with the theoretical expect. Also, this filter is used in hyperspectral microscopic imaging system combining with inverse optical microscope system and it is capable of detecting and mapping material with different ingredient monochromatically.