Magnetically controlled shape memory alloy (MSMA) is a new functional material which is found in recent years. The material can produce large induced strain by magnetic field, and has fast dynamic response, high efficiency of electromagnetic-mechanical conversion. In order to guide the design and application of the MSMA actuators, modeling for the output strain of the actuators is necessary. The model between the output strain and the magnetic field, pre-stress, temperature is presented for MSMA actuator in this paper. The characteristics of the output strain are analyzed under the magnetic field, pre-stress and temperature. The experimental results verify the feasibility and effectiveness of the MSMA modeling method for the output strain.