this paper discusses the circulation pattern within a rectangular uniform basin which communicating with the adjacent sea through an openning. Assume the north and south boundaries being sliding type, while the east and west boundaries (with the exception of the openning) being viscous type. The ,aim of this paper is to get a solution of Stockman's total transport equation with the fore mentioned boundary conditions. Because of the existence of a discontinuous point of the first kind on that boundary with an openning, we use Fourier method to obtain a solution in the series form for the whole basin. It is apparent from the solution that the circulation pattern within such a semi-closed basin is essentially determined by the wind stress curl on the basin and the velocity distribution at the openning. Finally，we apply the above result to the Bohai Sea, it is to be seen that the circulation pattern of the Bohai Sea calculated by this method is quite similar with the observed circulation pattern of the Bohai Sea so far as the general feature is concerned.