The aim of this paper is to investigate the numerical study of heat and mass transfer on an unsteady MHD flow past a parabolic starting motion of the infinite vertical plate in the presence of chemical reaction parameter, mass diffusion and variable temperature. Mathematical model of this mechanism have been constructed in the form of partial differential equations and the coupled partial differential equations are solved by efficient finite element method. The effect of velocity, temperature and concentration profile are examined for different physical parameters and is presented graphically.