Heat transport finds use in several applications including heat exchangers, marine units, food processing units, oil and gas industries, petroleum industries and so on. By providing a large surface area and irregular motion in flow, made possible by porous media and enhances the thermal efficiency. The addition of a single type of nanosized particles in the base fluid gives rise to nanofluids. It tends to have higher thermal conductivity than the base fluid. However, currently hybrid nanofluids are introduced to overcome the disadvantages associated with nanofluids such as lower chemical stability, lower corrosion-resistant and so on. Hybrid nanofluids consist of dissimilar nanoparticles. Here, the heat transfer performance of nanofluids and hybrid nanofluids which flow through porous media is discussed. In addition, the role of the external magnetic field on the heat transfer performance of nanofluids with porous media is also explored. The relation between important parameters like Darcy number, porosity, Hartmann number, Reynolds number, Biot number and heat transfer performance of fluids with porous media is duly discussed. This chapter focuses on the role of porous media in enhancing heat transfer performance of nanofluids and hybrid nanofluids when flow occurs through different geometries.