In　modern　precision　measurement　system,　the　conventional　PID　control　method　cannot　meet　the　requirements　of　high-precision　measurement　in　the　laser　tracking　measurement　system.　Combining　the　mathematical　model　of　the　permanent　magnet　synchronous　motor　and　the　current　control　method　of　the　laser　tracking　measurement　system,　the　model　of　a　laser　tracking　system　based　on　the　current　predictive　control　of　an　extended　state　observer　the　Matlab/Simulink　software　for　the　simulation　analysis.　The　simulation　results　show　that　the　motor　control　model　of　the　laser　tracking　system　is　effective.　The　proposed　method　avoids　the　influence　of　many　factors　such　as　model　error,　uncertainty　disturbance,　and　internal　and　external　disturbances　of　the　motor,　which　can　effectively　reduce　the　current　loop　disturbance　and　torque　ripple　of　the　laser　tracking　control　system.　Moreover,　the　laser　tracking　measurement　system　shows　good　dynamic　response　and　speed　control　characteristics.　The　proposed　method　has　important　practical　significance　for　improving　the　steady-state　tracking　accuracy,　and　enhancing　the　robustness　of　the　system.　©　2020,　Editorial　Department　of　Journal　of　HEU.　All　right　reserved.