This paper is devoted to the study of the propagation of tide wave in a basin with variable cross-sectional area. With the W.K.B. method an analytic solution of amplitude is obtained. It is found that the motion of co-oscillating tide wave in a basin with variable cross-section is a progressive one, depending on the cross-section as well as the frictional force. The effects of friction on the motion of tide wave is discussed in detail.