Taking Shenzhen universiade stadium as engineering background, the mechanical character of a new style ‘single-layer folded space grid structure’ was analyzed. Based on the matrix mechanical model and considering the time-dependent effects of geometry, constraint, and load in construction process, the state-nonlinear construction process analysis method was established. And the analysis program was formed by the APDL platform of finite element software ANSYS to analyze the single-layer folded space grid structure. It is shown that both the maximum displacement and stress wave in construction. The bracing forces wave strongly in the unloading process and the maximum amplitude approximates 2 times of the initial value. The stress state differs from the design state when construction process is finished, and the displacement distribution is not completely symmetrical. The analytical results can guide the temporary supports design and construction process control.