The aim of the present paper is a theoretical analysis of a steady Magnetohydrodynamic laminar flow of an incompressible viscous and electrically conducting fluid adjacent to permeable stretching sheet with partial slip condition has been carried out considering the effects of the involving governing physical parameters such as suction/injection parameter, velocity exponent parameter, buoyancy or mixed convection parameter, temperature exponent parameter, Prandtl number, and magnetic field parameter are studied on the velocity and temperature distribution over the stretching material medium with partial slip condition. The governing equations which are highly nonlinear partial differential equations which are transformed to ordinary differential equations using similarity variables and then solved using Homotopy Analysis Method (HAM). A parametric study showing the effects of the several physical parameters involved with respect to magnetic field on the velocity, heat transfer, and temperature are analysed and discussed graphically. It was found that by the increase in the velocity slip parameter factor A the momentum boundary layer thickness and thermal boundary layer thickness decreased. Our numerical results obtained are in good agreement with the results published seen in literature.