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During the monitoring and control of continuous girder bridge construction, the traditional method can't effectively predict the trend of stress in the bridge. What′s more, the application is very complex. This paper builds two kinds of grey prediction model based on the stress sequence of control section in the same continuous beam bridge construction, then compares the application of this two models. Information renewal GM (1,1) model and SCGM(1,1) dynamic model are based on stress test results from control sections in the Nanhe Bridge construction in Jiangsu province for stress prediction. The results showed that the prediction precision and adaptability of both models can achieve the level of engineering construction requires, and the feasibility and adaptability of these two models in stress prediction of the continuous girder bridge construction are validated.