Abstract: In high-precision satellite data processing, satellite clock correction data interpolation is an important task, and its accuracy directly influences satellite positioning accuracy. Traditional interpolation and fitting methods have certain limitations. In this paper, the generalized continuation interpolation method is applied to the clock difference data processing of BeiDou satellite. By interpolating the clock difference data with 5 min epoch interval into 30 s, and then comparing with the precision clock difference data of 30 s, the interpolation accuracy is evaluated.Discussing the relationship between the values of  r, s , and tparameters and the interpolation precision. optimal parameter combination is obtained, and the interpolation result of the traditional Lagrange interpolation method is compared under the combination of the parameters. The results show that the generalized extension interpolation method satisfies the processing of the Beidou satellite clock data, and the accuracy meets the requirements and slightly higher than the Lagrange interpolation method.