In this work a boundary layer analysis for free convection flow of viscous, incompressible fluid past over vertical plate is presented. A computer program is developed in Quick basic language to obtain numerical solutions for the resulting governing equations (mass, energy, and momentum). A parametric study of all involved parameters is conducted and a representative set of numerical results for the velocity profile and temperature distribution are illustrated graphically and physical aspects of the problem are discussed. The validity of results is verified and shows that there is a good agreement between the results of the present numerical solution and the correlation related to it.