A twodimensional two-layer barotropic quasi-equilibrium ocean model under the wind forcing considering Rayleigh dissipation is built, and the analytic solution is given under the situation of midlatitude largescale wind field forcing. The results show that, under the forcing of the westerly jet stream, in the upper flow field of the east to west coast of the ideal ocean, there is a stronger east flow in the westerly forcing, and there is a west branch near the βchannel wall; while near the west coast, there are streams with cyclonic curvature and anticyclonic curvature on both sides of eastward flow. The lower flow field, whose strength is approximately the same with the upper flow field, but the direction of the flow is generally opposite. The distribution form of flow anomalies forced by the ideal westerly jet anomalies is similar to the results above. Compared to the upper flow field anomalies in the North Pacific forced by the actual wind anomalies, there are similarities between the actual situation and the results of the upper ocean in the article. Finally, the solution of the ocean model runs to the forcing particular solution of wind field here.