The aim of this research is to analyze the effects of magnetic field on tangent hyperbolic Casson nanofluid flow past a porous stretching surface with first-order chemical reaction and extra stress. The mathematical model for the present flow has been developed in terms of partial differential equations which then were non-dimensionalized and later expressed in finite difference form. Central differences have been used for spatial partial derivatives and forward differences for the temporal partial derivatives. Simulations were conducted in MATLAB for the governing equations and the results indicated that velocity profiles decrease with rise in suction parameter, angle of inclination for the applied magnetic field but increases with a rise in Reynolds number, thermal and mass Grashof numbers and Casson fluid factor. Temperature of the nanofluid in the floe region reduces with an increase in suction parameter and Prandtl number but it increases with increase in Reynolds and magnetic numbers. Magnetic induction profiles have direct relationship with variation in Reynolds number but inversely proportional to magnetic Prandtl number. Then increase in chemical reaction parameter leads to reduction in species concentration profiles. A rise in γ, Sc, M, Pr and β increases skin friction coefficient. Increasing Pr increases heat transfer while the opposite happens with increase in γ, M, Sc and β. Increasing γ, Sc, M and β while Pr does the opposite. Applications of this present nanofluid flow problem include hydromagnetic generators, dynamos for generation of electricity and also in the design of electrochemical sensor systems for detection of heavy metals such as copper, Arsenic, Chromium and Zinc.