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In general, conventional seismic collapse fragility only incorporates the uncertainties in earthquakes. When a structure is near to collapse, it will illustrate highly nonlinear behavior. Structural nonlinearity may be then coupled with structural uncertainty, resulting in magnified influences on structural seismic collapse capacity. This study presents a MVFOSM-based (mean value first order second moment) random IDA (incremental dynamic analysis) approach, which combines the MVFOSM with IDA. A five-story and three-bay RC frame structure designed according to Chinese codes was used to conduct seismic collapse fragility analysis using the proposed MVFOSM-based random IDA approach. The sensitivities of the considered structural random parameters were illustrated through 'tornado diagram'. The results show that the standard deviation of the seismic collapse capacity is increased by 70 percent due to structural uncertainties. Therefore, it's reasonable to consider structural uncertainty in seismic collapse fragility analysis. [ABSTRACT FROM AUTHOR]