A measurment system of acoustic wave vibration acceleration is presented. In the system distributed fiber bragg grating probe is used. It uses FWDM,WDM and TDM technology. Optical wavelet filter is designed. The system improves inbalance and nonlinear optical signal efficiently. The system realizes distributed measurement of the acoustic wave vibration acceleration. The acceleration measured range is 4. 3m/ s2～340m/ s2 ,frequency response range is quasi - static～1000 Hz ,the resolution is 7. 5 ×10 - 7nm/ Hz.