In this paper we have reported the effects of radiation and chemical reaction on MHD unsteady heat and mass transfer of nanofluid flow through a vertical plate. The model equations are transformed into non-dimensional form by the as usual mathematical technique of transformation and the resultant non-dimensional partial differential equations are solved numerically by applying explicit finite difference technique. Then the numerical results have been calculated by computer programming languages Compaq Visual Fortran 6.6a which are significantly affected by the various dimensionless parameters such as Magnetic parameter, Schmidt number, Grashof number, Lewis number, Prandtl number, modified Grashof number, Dufour number, thermophoresis parameter, Brownian motion parameter, chemical reaction and radiation parameter on velocity, temperature and concentration profiles along with the skin friction coefficient, Nusselt number and Sherwood number. At the end, the obtained numerical results are plotted after stability test by using graphics software tecplot-9 and discussed with the help of graphs.