Due to the inherent privacy concerns associated with fingerprint image, technology of fingerprint recognition has been extensively utilized for identity authentication. However, direct publication of fingerprint image on the Internet can result in the leakage of sensitive information. In order to protect the sensitive information in fingerprint image, this paper proposes a novel method called LSDP that combines wavelet transform and singular value decomposition while ensuring the differential privacy protection. The primary focus of protecting fingerprint image involves safeguarding matrix of two-dimensional image. To mitigate excessive noise generated by the differential privacy when adding noise to the matrix of fingerprint image, this study employs wavelet transform as a solution. Additionally, the exponential mechanism is utilized in conjunction with the wavelet transform to select an appropriate threshold in order to reduce noise added by the differential privacy. This approach is referred to as DWP. Furthermore, the singular value decomposition applied to the wavelet transforms coefficients. In order to reduce the effect of noise errors, perturbation noise is only added to the singular values instead of all coefficients. This proposed method is termed SDP. To enhance the privacy protection of publication of fingerprint image, the proposed LSDP add perturbation noise to only some of the singular values. The experimental results demonstrate that our proposed algorithm outperforms the direct application of the wavelet transform or the singular value decomposition in terms of safeguarding fingerprint image.INDEX TERMS wavelet transforms, singular value decomposition, differential privacy, publication of fingerprint image