The present paper investigates the effect of electrification and viscous dissipation on boundary layer stagnation point flow of nanofluids towards stretching sheet. For this purpose, a steady state flow of water-Cu nanofluid has been considered. An efficient mathematical model has been developed using Matlab to understand the variation of non-dimensional velocity profile (f’(η)), non-dimensional temperature profile (θ(η)) and dimensionless concentration distribution of nanoparticle S(η). Using the similarity variables, the boundary layer equations of flow field has been transferred to nonlinear ordinary differential equation. The present model has been validated with available literature and the results show good agreement. The effect of five different parameters such as stretching parameter (ε), Brownian motion (Nb), Thermophoresis (Nt), Ecket Number (Ec), Schmidt Number (Sc) and Electrification (M) of nanoparticles on heat and mass transfer characteristics of boundary layer stagnation point flow of the Cu-water nanofluid towards stretching sheet has also been calculated. The non-dimensional velocity profile shows an increasing trend with higher values of ε, M, Nb, Nt.