The clock synchronization technology with high precision plays an important part on the power system stability. The environment temperature will cause serious influence on the precision of clock synchronization equipment. On the basis of the principle of IEEE1588 protocol, this paper puts forward a kind of method called slave clock adaptive error correction, which is based on genetic algorithm and PID control principle. When the PID control model is built, the slave clock function model is used as the controlled object, and the difference between slave clock and ideal clock source is regarded as the system error, then the ITSE is taken as an objective function. A genetic operation is laid on the three parameters of PID by the way of genetic algorithm. Furthermore, the PID is optimized. Finally, the goal of adaptive correction for slave clock time error is achieved. The results from Matlab simulation show that this method has good adaptive ability under different temperature conditions and the precision of the synchronization can reach up to 1ns.