Internet public opinion triggered by public safety incidents, as an important content of government response, its response effectiveness profoundly affects the life of the public and the work of the government. In this paper, based on the online public opinion response ability of W Municipal Government on public security incidents, a set of government online public opinion response ability evaluation system consisting of 3 primary indicators and 12 secondary indicators is initially designed. And the index structure is reasonably modified by calculating and analyzing the principal components of each secondary index. Then the hierarchical analysis method is used to quantify the logic and association in the indicators into numerical values. Combining the hierarchical analysis method with the entropy value method, the AHP-entropy value method combining subjectivity and objectivity is formed to determine the weights of each indicator. Taking the trend of online public opinion in the viaduct collapse incident of City W as an experimental object, the evaluation system of governmental online public opinion response capacity is adopted to evaluate the online public opinion response performance of City W government. After calculation, the performance of Municipality W in the 10 secondary indicator dimensions is recognized by the public. It indicates that in the management of public safety online public opinion, the W municipal government has a relatively fast and reasonable response capability.