A new kind of 3-d.o.f. vibration platform is introduced, which may be used in active vibration control, presion manufacturing, and other precision positioning fields. The platform is mainly comprised of four parts: the top board of the platform, flexure hinges, amplification mechanisms and gaint magnetostrictive actuators (GMAs). Among them, finite element analysis is taken on flexure hinges; the constitutive model of GMA is described. Eventually, the dynamic model of the system is established. According to the model, a simulation system based on SIMULINK is carried out. The simulation results verify the model, and may serve for the active control analysis of the platform system.