Steady boundary layer flow with Casson nanofluid in the presence of outer velocity towards a non-linear stretching sheet has been studied numerically. The main purpose of present study is to investigate the significance of various fluid parameters namely Casson fluid (non-Newtonian), thermophoresis, magnetic parameter, Brownian motion and non-linear stretching parameter on profiles of velocity, temperature and nanoparticle concentration. Non-linear governing equations and the linked boundary conditions are computed by shooting technique with the help of Runge Kutta Fehlberg (RKF) method by applying similarity conversions on it. The influence of various fluid parameters for different values of outer velocity on the rate of mass, heat and flow transportation are determined and represented through graphs and tables. The outcome reveals that with an increase in outer velocity, the velocity increases while temperature and concentration decreases. Present results of the study are correlated for –θ0′(0) with the extant outcomes in literature as a limiting case in absence of thermophoresis parameter and Brownian motion. The present study finds utilization in industrial, biological, manufacturing as well as technological fields as these results are helpful for better controlling of heat transportation due to the presence of magnetic flow and outer velocity flow.