The Scope of this paper works is to study, steady incompressible non-similar two dimensional boundary layer over a stretching surface with temperature dependent viscosity and PRANDTL number. The coupled partial differential equations with boundary conditions have been solved numerically using an implicit finite difference with combination of quasi-linearization technique with suitable step size along the stream- wise direction. The numerical results are displayed for velocity and temperature profiles with different parameter values. Further, it was found that the buoyancy parameter is more significant for water boundary flow. © 2018, Institute of Advanced Scientific Research, Inc. All rights reserved.