A method for estimating Reynolds stress -<u'v'>^- in a turbulent boundary layer was developed. In outline, the estimating equation for -<u'v'>^- introduced by integrating the momentum equation is solved numerically by applying measured values of velocity, pressure gradient and wall shear stress. for confirming the validity of this method, the experimental results presented by Klebanoff were employed. The results obtained were in good agreement with his measured data on -<u'v'>^-. also it showed that his method could estimate -<u'v'>^- in developing a thin boundary layer like the entrance region of a pipe by using our data measured by an I-probe of hot wire.