A large field-induced strain of magnetic shape memory alloy is developed by the martensite variant reorientation.It is widely recognized that the martensite reorientation in a magnetic shape memory alloy(MSMA) can develop if the magnetic field is large enough.However,it has been shown in the literature that the magnetization rotation may block variant reorientation via energy minimization approach.In this paper,based on a micromechanical model associated with the thermodynamic theory,authors show that there are some limits for the martensite reorientation,which is hindered by the magnetization rotation.Some useful conclusions are obtained. A large field-induced strain of magnetic shape memory alloy is developed by the martensite variant reorientation. It is widely recognized that the martensite reorientation in a magnetic shape memory alloy (MSMA) can develop if the magnetic field is large enough. However, it has has shown in the literature that the magnetization rotation may block variant reorientation via energy minimization approach. In this paper, based on a micromechanical model associated with the thermodynamic theory, authors show that there are some limits for the martensite reorientation, which is hindered by the magnetization rotation.Some useful conclusions are obtained.