We studied the progressive collapse performance of cylindrical latticed shell and its failure modes indifferent load distribution and boundary conditions. By using the sensitivity assessment index based on the ultimate bearing capacity of components, the influence of imperfection and buckling of compressive rods on the sensitivity index of the rods and nodes. The results show that in the four-side boundary condition, the full uniform-distribution load is mainly controlling. Nodes at the mid-span are the sensitive components and the adjacent rods are the key components. In two-side longitudinal boundary condition, the half uniform-distribution load is basically controlling. The largest sensitivity index of the rods and nodes are found at 1/3 span, and the smallest is adjacent to the support. Considering the structural imperfection, the important coefficients of the rods and nodes increase by 41% and 53% respectively; and considering the effect of buckling of compressive rods, increase by 45% and 62% respectively. So we can optimize the progressive collapse performance of cylindrical latticed shell by strengthening the key components.