In the Magneto-HydroDynamic (MHD) equations, the magnetic field has to maintain a constraint of free-divergence. It exists two families of methods dealing with the free-divergence constraint. The first one consist to write the magnetic field as the curl of a potential vector. The second family is the divergence cleaning methods. This presentation proposes a mix of those two methods to keep the free-divergence constraint in the Ideal MHD. The numerical method is based on relaxation schemes. Finally, some numerical tests are performed.