Abstract: The stability analysis is the key problem in the design of latticed shells, especially in single-layer latticed shells. A long-span ball gymnasium is adopted as a practical work, and it is analyzed by nonlinear finite element method under the first and the second kinds of stability problems. The holistic calculation aimed at 11 conditions in bearing capacity, material and geometric nonlinearity are considered. The second kind of stability is analyzed by the yielding criterion named the boundary edge fiber. The first kind of bucking modes and two kinds of stability factors under two typical conditions are given. The results show that the first kind of stability of this latticed shells accords with the requirements of correlative specifications; the second kind of stability is poorer. Therefore, the analysis of the second kind of stability should be paid attention.