A 137-element Deformable Mirror(DM) was manufactured by ourselves to carry out the research on the adaptive optics. First, a Zygo interferometer was used to test the static characteristics of the DM, which included figure tests, response tests of single actuators and coupling tests. Then, Zernike polynomial fitting and surface flattening were performed to test the correction capability of the DM, respectively, and the correction capability was also verified experimentally at an adaptive optics test-bed. Finally, a fast response measurement system was built up to test the dynamic response abilities of the DM and its drive electronics. The tests and experiments show that the surface of the DM after flatten calibration has the RMS and PV better than λ/50 and 0.18λ(λ=632.8 nm), respectively. Furthermore, the DM can fit and correct the first 7 order Zernike polynomials reasonably. The dynamic responses both of the DM and its high voltage driver are faster than 1 kHz. The tests in the indoor adaptive optics system show that the DM improves the system's Strehl ratio from less than 0.1 to better than 0.9, which enhances the imaging capability of the system greatly.