One of the difficulties in dealing with wind-driven current in coastal sea is the determination of sea surface slope because the governing equation is so complicated a differentialintegral equation that only a general numerical solution can be obtained. Hidaka (1954) discussed the current in an infinite deep sea. Li Xinming et al. (1965) treated the case with constant depth but the surface slope effect on current was not considered. In 1971, making a series of approximations based on physics, Garvine (1971) obtained some important results. Problem like that of Garvine was dealt with by Fourier transforms in this paper. Because in Fourier image space the governing equation, of surface slope is a simple algebraic equation, so that the question was reduced to getting the inverse Fourier One of the difficulties in dealing with wind-driven current in coastal sea is the determination of the sea surface slope because the governing equation is so complicated a differential integration equation that only a general numerical solution can be obtained. Hidaka (1954) discussed the current in an infinite deep sea. Li Xinming et al. (1965) treated the case with constant depth but the surface slope effect on current was not considered. In 1971, making a series of approximations based on physics, Garvine (1971) obtained some important results. Problem like that of Garvine was dealt with by Fourier transforms in this paper. Because in Fourier image space the governing equation, of surface slope is a simple algebraic equation, so that the question was reduced to getting the inverse Fourier