Considering temperature variation and ΔE effect, the dynamic model of giant magnetostrictive actuator is established, meanwhile dynamic response of giant magnetostrictive actuator and relation between magnetic field and magnetization are discussed. The simulation indicates that the relation between magnetic field and magnetization is nolinear, and a loop appears. With the amplitude of magnetization increasing, nonlinearity and loop are more obvious, and the amplitude of response will increase. Under specific amplitude of magnetization, higher temperature will get larger amplitude of magnetic field. Compare above model with the model that ignored effect, it shows that the difference between their results decrease with the amplitude of magnetization increasing.