Suspend-dome includes a single-layer latticed shell and the bottom tensegrity system. The overall stress state is closely related to the construction tension process. In order to provide guidance for safe construction of suspend-dome and trouble-free operation, an iterative method to determine initial strains of the bottom tensegrity system under zero state was proposed, and software for global-process tension analysis was developed based on ANSYS. A transform interface module was developed for rapid ANSYS parametric modeling. The optimization was conducted to achieve optimal prestress. A computational module was developed for the form-finding, force-finding, and construction tension analysis. The construction process of a suspend-dome with a span of 106 m was simulated by using the construction simulation method. It was shown that the iterative tension analysis method provided accurate and reliable simulations, which could be further used to determine the prestress and form of suspend-dome. The presuppositions and obtained computation sequences of the construction simulation method agree well with the practical construction process. This construction simulation method can be utilized for construction simulation.