The effect of peak noise and white Gaussian noise on moving cut data-permutation entropy method is discussed by constructing the nonlinear ideal time series. The results show that the moving cut data-permutation entropy method can accurately detect the location of the mutational point, even if the time series with high noise level, which showed that the effect of peak noise and white Gaussian noise on the result of this method is small. The moving cut data-permutation entropy has strong anti-noise ability, which is beneficial to the application of this method in actual observation data.