The invention relates to a sampling value synchronization interpolation algorithm with data delay jitter or loss compatible. The sampling value synchronization interpolation algorithm is applied to a protecting, measuring and controlling system which comprises a sampling unit, a merging unit and a function unit. The sampling value synchronization interpolation algorithm can be applied to two scenes: (1) when the merging unit receives a sampling value sent from the sampling unit and the sampling value is initially integrated, the merging unit conducts primary interpolation replenishing and primary interpolation calculating on the sampling value, and the sampling value after being initially integrated is established; (2) when the function unit receives the sampling value sent from the merging unit after initial integration and the sampling value is integrated once again, the function unit conducts secondary interpolation replenishing and secondary interpolation calculating on the sampling value, and the sampling value after being integrated once again is established. According to the sampling value synchronization interpolation algorithm, the fact that the sampling unit and the merging unit, and the merging unit and the function unit choose sampling points according to needs in the protecting, measuring and controlling system can be achieved, when data delay jitter or loss occurs, supplement and calibration can be used, and high efficiency and flexibility are achieved.