In this paper, unsteady double-diffusive magnetoconvection of water in an enclosure with Soret and Dufour effects around the density maximum has been numerically investigated. The right vertical wall has constant temperature, O-c, while left vertical wall is O-h, with O-h > O-c. The concentration in right wall is maintained lower than left wall (C-h > C-c). The remaining horizontal walls are adiabatic. The governing equations are solved by control volume method using SIMPLE algorithm with QUICK scheme. Representative results illustrating the effects of the thermal Rayleigh number, Hartmann number, the direction of magnetic field. density inversion parameter, buoyancy ratio, Schmidt number, and Soret and Dufour parameters on the contour maps of the fluid flow. temperature and concentration as well as the profile of velocity at mid-section of the enclosure are reported. In addition, numerical results for the average Nusselt and Sherwood numbers are presented for various parametric conditions and discussed. (C) 2008 Elsevier Ltd. All rights reserved.