Abstract: A robust static model updating method is proposed with complex domain sensitivity analysis. Basing on the complex variable partial differential method, an accurate algorithm was developed for parameter sensitivity analyzing during model updating. An iterative pattern was established for model updating with static measured data. With considering modal character forces, modal dynamic finite element model was equivalent to a static model for updating. Formulations of error estimates are derived for the model updating algorithm stability analysis. The numerical examples show that the developed method could efficiently update multiple and/or nonlinear parameters. The finite element model of Runyang suspension bridge tower was updated with the proposed method. The identified parameters are more accurate, and the correlation between the updated model and actual structure is much higher.