The main object of this paper is to steady the Bio-mathematical analysis for the stagnation point flow over a non-linear stretching sheet with the velocity slip and Casson fluid model. Analysis for the both titanium and titanium alloy within the pure blood as taken as the base fluid. The governing non-linear partial differential equations are transformed into ordinary which are solved numerically by utilizing the fourth order Runge- Kutta method with shooting technique. Graphical results have been presented for dimensionless stream function, velocity profile, shear stress, temperature profile for various physical parameters of interest. It was found that the velocity profile of the nanofluids decreases and increases with the increasing the first-order and second-order slips respectively. Comparisons with previously published work are performed and the results are found to be excellent agreement. © 2018, Global Digital Central. All Rights Reserved.