The present analysis is focused on free convective heat and mass transfer   characteristics of magneto-nanofluid flow through a moving vertical plate in the presence of thermal radiation and thermal diffusion. The water-based nanofluid containing copper is taken into consideration. A uniform magnetic field is applied perpendicular to the plate. The governing equations are solved by applying finite difference method. Numerical results of the fluid velocity, temperature, concentration, shear stress, rate of heat transfer and rate of mass transfer are presented graphically for different values of the physical parameters encountered in the problem. It is noticed that the fluid velocity increases with increasing radiation parameter and Soret number. An increase in radiation parameter and solid volume fraction leads to enhance the fluid temperature. Rising values of Soret number serves to improve the species concentration. Increasing values of Schmidt number enhanced the shear stress at the plate but a reverse trend is found in the case of Soret number. The current study is well supported by the verification of a previous result.