Abstract: The computations of singular integrals are an important chain for practical applications of physical geodesy. It is our purpose in this paper to investigate the problem of computing singular integrals by means of wavelet theory. The fast operation and high precision have been illustrated by a practical example for one-dimension case. As a comparison with Fourier transform, kinds of advantages of wavelet theory have been shown up. Definetly to say, wavelet theory is a great important tool for practical applications to study local gravity field.