This contribution presents a parametric methodology for the simulation of erection process of cable roofs, developed using Grasshopper & SOFiSTiK and applicable for large-span stadia. The proposed approach allows for the flexible definition of boundary conditions, which vary significantly between stadia, such as the geometry and the support conditions of the compression ring, the release configurations of the supporting structure, and the specific erection sequence. By leveraging Grasshopper’s parametric capabilities, the methodology enables rapid adaptation to different erection processes and stadium geometries. To validate the proposed approach, the methodology was applied to some real cases (e.g. the Ciutat de València Stadium). The results obtained from the erection simulation of the parametric model were correlated with actual data recorded during the construction process, showing a strong agreement and confirming the reliability of the simulation. This parametric erection sequence methodology represents a significant advancement in the design and execution of large-span tensile structures. It provides engineers with a powerful and adaptable tool to simulate, optimize, and execute complex erection operations with greater precision and efficiency.