Giant magnetostrictive materials, such as Terfenol-D, have been used to make a principal driving element in actuator, owing to its fine characteristic that is large strain, high energy density, small hysteretic loss and less performance degradation in room temperature. With the discovery and refining of Terfenol-D, the magnetostrictive actuator has gotten great development for recent twenty years. The free vibration and forced vibratin of linear magnetostrictive actuator is analyzed. The initial state of rod is at rest. The computational results show that the displacement response is synchronous with the current.