The magnetic levitation actuator based on Lorentz force principle uses the non-contact magnetic force to offset the external periodic or random disturbance, which is an ideal method to effectively isolate the low-frequency micro-vibration. But the traditional maglev actuator has a small air-gap flux density and poor linearity, which leads to a large heat loss of the coil. However, the maglev actuator based on Halbach array can enhance the flux density of the magnetic field. In order to improve the Lorentz force and reduce the heat loss, a magnetic levitation actuator based on Halbach array was innovatively designed. Based on the mathematical model of one single rectangular permanent magnet, the magnetic field analytical model of the actuator was established. The relationship between the air gap flux density and the scale parameters of the permanent magnet array is obtained. By comparing the analytical results with FEM simulation, The margin of error is within 10%,which verify the reliability of analytical results. To obtain optimum A Force-Electro-Magneto-Thermal parameters, the parameterized model of the actuator was carried out and the structural constraints was established. The genetic algorithm was used and optimal air-gap distance, the minumum coil mass and the heat consumption were obtained. Experiments were conducted and the proposed actuator based on Halbach array shows good working performance.