To overcome the limitation of terrain and ground objects, curved girder bridges normally adopt a single column pier, on which a single bearing or double bearings with small spacing are seated, making it weak in anti-overturning ability under eccentric load. Presently, the vehicle centrifugal force and seismic action are rarely considered when calculating the anti-overturning stability and tend to aggravate the deflection of curved girder bridges. In this paper, a calculation method is proposed to determine the anti-overturning stability coefficient under earthquake; the calculating equation of anti-overturning stability coefficient under static action is modified. The results show that the influence of centrifugal force cannot be neglected. Otherwise, the calculation of overturning stability is unsafe. The anti-overturning stability of curved girder bridges under earthquake is lower than that under static action. Further, the effect of different structural parameters on the anti-overturning stability coefficient under static and seismic action is similar: the anti-overturning stability coefficient decreases with the growth of bridge deck width, while first decreases sharply and then increases slowly with the growth of curvature radius