In this study, we consider the non-Darcian model of Gyrotactic Microorganisms and electron magnetohydrodynamic (EMHD) for micropolar bio viscos fluid containing different kinds of nanoparticles over a stretching plate. The problem is formulated mathematically by a system of non-linear partial differential equations (PDEs). By using suitable transformations, the PDEs system is transformed into a system of non-linear ordinary differential equations (ODE) subjected to appropriate boundary conditions. These equations are solved numerically by using the finite difference method. The model is applied to human blood, as a bio viscos fluid containing four different types of nano-particles such Copper (Cu), Silver (Ag), aluminum oxide (Al2O3), and Titanium dioxide (TiO2). The effects of some parameters on the obtained solutions are discussed numerically and illustrated graphically through a set of figures. The results showed that the momentum for Al2O3-nanoparticles and TiO2-nanoparticles is spreading faster inside the blood than propagating momentum for Cu-nanoparticles, and Ag-nanoparticles. The importance of this study comes from its significant applications in many scientific fields, such as nuclear reactors, medicine, and geophysics.