A new independent tuning method of the center wavelength and the bandwidth of fiber grating is demonstrated. The fiber grating is bonded to the side surface of elastic beam with a determinate angle along its axis direction. The center wavelength and the bandwidth of the fiber grating can be quasi-linearly tuned respectively through changing the torsional angle and the lateral displacement. In the experiments, it is demonstrated the quasi-chirp-free wavelength tuning of 8.28 nm and the bandwidth tuning of 5.32 nm in which the center wavelength is quasi-shift-free. The experimental results are in good agreement with the theoretical analyses.