The natural convection of the nanofluids from a vertical accelerated plate in the presence of the radiation flux and magnetic field is observed in this study. Initially, the plate with a temperature higher than the temperature of nanofluids is at rest and then it accelerates moving upward and then the wall temperature decreases. The governing unsteady equations are solved by the explicit method based on the forward finite difference. Three different types of water-based nanofluids containing copper Cu, aluminum oxide Al 2 O 3 and titanium dioxide TiO 2 are taken into consideration. The hydrodynamic and thermal performance of the nanofluids is calculated. The results of the computation show that the velocity profiles are influenced by the type of the nanofluids, Grashof number, radiation parameter, magnetic field and volume fraction of nanoparticles. The shear stress profiles of the nanofluid Cu-water has the lowest values. The temperature distributions are very slightly different for the same volume fraction for all nanofluids. The heat transfer from plate to the nanofluids is influenced by radiation parameter, volume fraction and Prandtl number. This study is a model of the cooling system in engineering applications.