Starting from kinetic theory description of massive spin-1 /2 particles in presence of magnetic field, equations for relativistic dissipative non-resistive magnetohydrodynamics are obtained in the small polarization limit. We use a relaxation time approximation for the collision kernel in the relativistic Boltzmann equation and calculate non-equilibrium corrections to the phase-space distribution function of spin-polarizable particles. We obtain multiple novel transport coefficients and show that all dissipative currents contain coupling between spin and magnetic field at first-order in gradients.