Abstract: With the progress of the times, the continuous improvement of people's requirements on architecture has not been limited to the function and practicality, but also requires aesthetic and material efficiency. As a dome structure, the large span space structure requires excellent light transmission effect and lightweight. The conventional triangular meshed rigid reticulated shells are contrary to the above development requirements, while the stability of quadrilateral meshed reticulated shells is poor. To solve this problem, a new type of two-way grid reticulated domes with cables is proposed in this paper. The mechanical properties of the structure are verified in large span examples, and the applicability of this structural system in large span area is studied. Aiming at the tensioning sequence of the rods during the construction process, several schemes of the prestressing sequence of the in-plane obliques rod and the out-of-plane transverse rods are proposed. The influence of the prestressing sequence on the construction process is studied in terms of the maximum displacement and ultimate strength of each stage in the process of structural construction. A reasonable construction method suitable for this structure is proposed, which provides theoretical support for practical engineering.