With the wide application of single-column curved beam bridge, its own diseases are developing in many directions. At present, the problem of bridge stability has attracted more and more attentions of the society and structural designers. Through the analysis of the stress characteristics and disease forms of single-column curved beam bridge, and combined with specific calculation examples, various factors affecting the stability of single-column curved beam bridge are summarized, the corresponding countermeasures are put forward and a reasonable support system is created so as to provide some references for the design of this kind of bridge in the future.