A new type of piezoelectric metal core piezoelectric fiber(MPF) actuator is introduced.The relationship between voltage and displacement is deducted and finite element simulation is used to analysis MPF. Comparative study gives the difference of the displacement between the theory results and the simulation results under different driving voltage, and verifies the relationship between driving voltage and displacement in the formula.The MPF hysteresis is also test, and two methods are designed to compensate hysteresis control: the inverse hysteresis model of open loop control and the combination of PID.Test shows that the composite control is better with good compensation of the MPF hysteresis, and linear input and output.High precision positioning is realized by higher than the 10 nm.The experimental results of composite control further verify the correctness of the MPF displacement formula.