In this thesis the analysis of incompressible cascade flow using integral equation of Fredholm is presented. This analysis enables us to consider a flow separation problem by distribution of sources as well as vortices. In order to obtain the cascade flow solution it is necessary to determine the steam line and a modified source distribution. Stratford``s criterion is used to predict the separation point based upon the pressure distribution. Comparison of the analytical results of the present analysis with experimental data shows a good agreement for the pressure distributions and the lift coefficients at a moderate angles of attack.