Abstract: A novel self-equilibrium cable-strut tensile strucuture called torus-dome was proposed. The system consists of a surrounding tensegrity torus and a central Levy type cable dome. Because of the low redundancy, the anti-collapse performance of torus-dome structures under local cable rupture is studied. Considering the rupture of cables in the tensegrity torus, the constraint reduction of tensegrity around the cable dome is systematically discussed. The impacts on the overall structural stiffness and the internal force redistribution of cables and struts are also discussed. Based on the explicit dynamic integration method, the behavior of the remaining structure was investigated by ANSYS/LS-DYNA software package. Alternative load path method was applied to simulate the structural responses, including the nodal displacements and the internal forces of cables and struts. The invalid cables are divided into four groups and the anti-collapse capacity of the remaining structure is evaluated. The results indicate that the structure has good performance to resist progressive collapse. The conclusions will provide a reference of engineering application and safety assessment for such structures.