The stroke of the wave-front corrector is a key factor that determines its correction ability in the adaptive optics systems. The stroke of the current wave-front correctors, i.e. solid deformable mirrors, is small and far from enough to meet the requirement of large aberration corrections. A large stroke Magnetic Fluid Deformable Mirror (MFDM) was presented, where the linearization of the response of the MFDM was obtained by superimposing a large uniform magnetic field generated by Maxwell coil to the small magnetic field generated by the micro-electromagnetic coils. The proposed fluid mirror can easily supply a large stroke of the surface deflection more than 100 μm. The linearized surface analytical model of the MFDM was first built. Then the magnetic fields produced by Maxwell coil and micro-electromagnetic coils and the linearization response characteristic of the MFDM were simulated in COMSOL multiphysics EFA environment combined by MATLAB software. Finally, the simulation results were verified experimentally based on a designed prototype MFDM. The results show that the developed analytical model can correctly represent the characteristics of the MFDM, and the large stroke more than 100 μm can be obtained with small current inputs to the micro-electromagnetic coils under the large uniform magnetic field generated by the Maxwell coil.