Combined with uniform design and response surface method and Nataf transformation,an alternative seismic fragility analysis method,which can take the uncertainties of ground motions and structures as well as the correlations of structural random variables into account,was proposed.This study took a continuous girder bridge as case-study.The bridge seismic fragility analysis was performed,considering the dependence and correlations of structural random variables.Meanwhile,the seismic fragility analysis and the accuracy of the response surface model affected by the correlations of structural random variables were analyzed.The analysis result indicates that the proposed method can effectively take the correlations of structural random variables into account.After considering the correlations of the structural random variables,the established response surface can better fit the surface limit state function of structure,the probability failure of bridge in each damage state has a certain degree of reduction,and neglecting the correlations of structural random variables may underestimate the seismic performance of the bridge.