A primary goal of this dissertation is to examine the magnetohydrodynamics (Al2O3 and Cu)/H2O hybrid nanofluid flow a porous medium with the nano-particles shape effect. The significant impact of thermal conductivity variation, slip condition and heat generation are also deliberated. The Spherical (Sphere) and non-Spherical (Lamina) types of Aluminum oxide (Al2O3) and Copper (Cu) nanoparticles are suspended in pure water (H2O) to form (Al2O3 and Cu)/H2O hybrid nanofluid. The modeled partial differential equations are transmuted into ordinary differential equations by using the similarity transformation technique. The converted ordinary differential equations (ODEs) are tackled analytically with the employing of well-known Homotopy analysis method (HAM). Also, the impacts of involving parameters on (Al2O3 and Cu)/H2O hybrid nanofluid velocity, temperature and Nusselt number are also taken into justification. A remarkable enhancement is noted the in non-Spherical (Lamina) shapes nanoparticles (Al2O3 and Cu) performance on temperature disturbance and heat transfer.