Based on the edge filter characteristics of long period grating（LPG）,an experimental system is built up to achieve static and dynamic demodulation of fiber Bragg grating（FBG）.The system can achieve linear dumodulation with a bandwith of 3.5 nm,an wavelength sentitivity of 0.092 nm-1 and an wavelength resolution of 0.01 nm.In vibration measuring,the detected signal is stable,and the frequency error is below 1%.In order to reduce the effect of temperature and strain on the wavelength of LPG,a scheme for the compensation of its drift is designed.Compared with 112 pm/℃ without compensation,the temperature coefficient of LPG is only 45 pm/℃ after compensation.The stability of the system is improved obviously.