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Presented field-circuit coupled adaptive time-stepping finite element method to study on permanent magnet linear synchronous motor (PMLSM) characteristics fed by SPWM voltage source inverter. In air-gap field where the direction or magnitude of the field is changing rapidly, the smallest elements are demanded due to high accuracy to use adaptive meshing technique. The co-simulation was used with the status space functions and time-step finite element functions, in which time-step of the status space functions was the smallest than finite element functions\'. The magnitude relation of the normal elec-tromagnetic force and tangential electromagnetic force and the period were attained, and current curve was very abrupt at current zero area due to the bigger resistance and leak-age reactance, including main characteristics of motor voltage and velocity. The simulation results compare triumphantly with the experiments results.