本文从Ｂｒａｇｇ 光栅方程出发，推导出了光纤Ｂｒａｇｇ 光栅传感器的温度和应变一阶和二阶灵敏度以及温度－ 应变交叉灵敏度的计算公式，结合实际数据进行了计算，估计了忽略二阶和交叉灵敏度可能带来的误差。并指出改变Ｂｒａｇｇ 光栅的封装形式可以提高其温度灵敏度，用此方法同时测量温度和应变时，可以降低灵敏度矩阵的条件数，从而提高检测精度 Based on the Bragg grating equation, the formulas of first and second order sensitivity of temperature and strain, and temperature-strain cross sensitivity of fiber Bragg grating sensor are deduced. Based on the actual data, the calculation of the second-order and the second-order sensitivity Bring the error. It is pointed out that changing the package of Bragg gratings can improve the temperature sensitivity. When using this method to measure temperature and strain at the same time, the number of conditions of the sensitivity matrix can be reduced so as to improve the detection accuracy