A special kind of quartz tube is used to coat fiber Bragg grating(FBG).The pressure responses of tube packaged FBG sensor are analyzed.The high-pressure experiments about compression and decompression were carried out.When the pressure was from 0 to 40 MPa.The relationship between the pressure and the central wavelength of FBG is derived.And the analytic expression is also given.The experimental results show that the pressure sensitivity of FBG is bigger.Its value is about -0.037 7 nm/MPa.There is a very good linearity and repetition between the center wavelength of FBG and pressure change and no hysteresis effect.