The purpose of the present paper is to study propagation of the shock waves and the flow parameters in the exponentially decreasing atmosphere. Plane shock waves as it propagates vertically upward in the static atmosphere of the earth are also studied. The variation of Mach number and the velocity of the shock waves are obtained analytically by using Whitham__ampersandsignrsquo;s Rule. It is found that shock velocity increases as the shock wave propagates in the atmosphere with decreasing density normal to plane of the shock front