This paper presents an analytical approach to evaluate a possibility of progressive collapse of reinforced concrete frame structure. In order to simulate adequate behavior of the structure, we considered the bond failure of lap spliced bars due to concrete crack in a plastic hinge region. Analysis result gave that there was additional deflection due to the bond failure of bar in beams at the node where the increasing displacement load was applied. The stress was concentrated to the beam where a column was removed, and as it goes up to higher stories, the moment change of an upper story appeared less.