Abstract: The basic theory of fractional wavelet transform (FrWT), including the construction and fast computation of FrWT, is introduced at first. Then a new de-noising method based on the correlativity of fractional wavelet transform is presented, the core of which is due to different correlativity of different signals in FrWT field. Compared with the de-noising method by traditional wavelet packet transform, the excellent de-noising performance of this new method is illustrated through two simulated examples. At last, the possibility of application of this method is discussed.