A great number of different pile-driving formulas are widely used to determine the load-carr-ying capacity during driving. However, engineers have been unable to agree on any particular pile.driving formula because the mechanisms of pile driving action which involves many complications such as hammer-pile-soil interaction could not be solved completely in any practical manner. This paper is presented for the purpose of giving field engineers a reliable analytical procedures for the prediction of pile.driving resistance without resort to electronic computers based on the theory of longitudinal wave transmission in conjunction with the wave equation and on the consideration of the effect of residual stresses induced by reversed friction in pile.