Magnetic levitation systems are widely applied in many fields. In this paper, a global fast terminal integral sliding mode controller (GFTISMC) based on the second‐order flux linkage model is proposed to improve the response speed and steady‐state error of the maglev system. Firstly, the dynamic model of the maglev system is deduced, and the second‐order flux state model is established. Secondly, to improve the global response speed of the system and reduce the steady‐state error, a GFTISMC is constructed. A position model based on magnetic field measurement is determined to achieve closed‐loop control. Finally, compared with the traditional sliding mode control, the simulation and experimental results show that the proposed controller has better global response speed, stronger robustness, and smaller steady‐state error.