The invention provides a temperature compensation method and device of a silicon-sapphire pressure sensor. In the method, by combining temperature drifting characteristics of a silicon-sapphire pressure sensor, a compensation algorithm combined with least squares linear fitting and parabola interpolation is designed, so compared with the traditional linear compensation algorithm, the pressure temperature relation curves obtained in the method are quite close to the actual pressure temperature change rule, a problem of quite big compensation error existing in the traditional linear compensationalgorithm is well solved and quite good compensation effects are achieved. The invention also provides a compensation device. By integrating the pressure sensor and the temperature sensor, on one hand, a sensor structure is simplified, and on the other hand, compared with a split structure, the measured temperature is quite close to the actual working temperature of the pressure sensor, so the device has good compensation effects.