Abstract: In magnetically driven experiments, such as solid liner implosion, magnetically driven flyer plate emission and magnetically driven quasi-isentropic/impulse compression, the metal starts from a solid phase and gradually turns into liquid phase by ohmic heating. In order to study the effects of material hardness the solid phase has on those magnetically driven experiments, we have added an elastoplasticitic module to the two-dimensional magnetically driven simulation code (MDSC2). With this code, we carried out numerical simulations of the development of Rayleigh-Taylor (RT) instability in magnetically driven solid liner implosion. The numerical results show that while the elastoplasticitic term has little effect on the trajectories of the inner and outer radius of the solid liner without an initial disturbance, it suppresses significantly the RT instability growth of the magnetically driven solid liner with an initial disturbance.