Steady flow of a viscous fluid of finite depth in a porous medium over a fixed horizontal, impermeable bottom is considered in this paper. Exact solutions of Momentum and Energy equations are obtained when the temperatures on the fixed bottom and on the free surface are prescribed. Velocity, Mean velocity, Temperature and MeanTemperature in the flow region have been obtained. The cases of large and small values of porosity coefficient have been obtained as limiting cases. The results are illustrated graphically.