Abstract: In this paper,using the integration method,it is sought to solve the problem for the laminar boundary-layer on a flat plate.At first,a trial function of the velocity profile which satisfies the basical boundary conditions is selected.The coefficients in the trial function awaiting decision are decided by using some numerical results of the boundary-layer differential equations.It is similar to the method proposed by Peng Yichuan,but the former is simpler.According to the method proposed by Peng,when the awaiting decision coefficients of the trial function are decided,it is sought to solve a third power algebraic equation.On the other hand,in this paper,there is only need for solving a linear algebraic equation.Moreover,the accuracy of the results of this paper is higher than that of Peng.