The flow of an electrically conducting incompressible fluid due to buoyancy effects of thermal and mass diffusion past a finite vertical porous plate with constant suction was investigated in the presence of uniform transverse magnetic field. The problem has been solved for velocity, temperature and concentration profiles. The equations governing the flow are solved numerically using finite difference method for various values of Grashof parameter ranging from 0 to -1. The results obtained are then presented using tables and graphs. It was noted that a decrease in Grashof parameter leads to an increase in primary, secondary, temperature and concentration profile.