The Gauss-Function covariance model based on least square collocation was applied in the anomaly assisted identification of fixed point deformation characteristic curves. We used two different examples to show that the filtering, interpolation and extrapolation of least square collocation can be simulated the trend of fixed point de- formation curves and assisted searching their anomaly characteristics in short-, medium-and long-term. The least square collocation method has certain significance for identifying the fixed point deformation.