By using the two-dimensional non-hydrostatic equations and the effect of latent heat of condensation, together with the river-land boundary conditions, we obtain a set of theoretical solutions which is applicable for river-land breeze.The results show that:when 0 < k < 1.0℃·km^-1, the circulation of river breezes is stronger than that of land breezes, which leads to the occurrence of heavy rain over the land more easily than over the reservoir; when k > 1.0℃·km^-1, the circulation of river breezes is weaker than that of land breezes, which makes heavy rain occur more easily over the reservoir than over the land.There are strong surface winds when 0.5℃·km^-1≤k≤0.9℃·km^-1.The interfaces of the streamlines around the centre of the circulation may be an explanation for the linear echoes which are analogous to shear lines above the land-sea surface on the radar chart.The heavy rain occurs easily when the echoes meet cold front.