Structural stability is one of the major factors considered for structural design. The integrity of carbon fiber reinforced polymer as a tensegrity system in a suspen dome is investigated by employing a computational model with a span of 93m. ANSYS software was employed for the investigation. The load-displacement curve of the structure was studied to understand the ultimate load bearing capacity in comparison with steel cable using Newton-Raphson and arc length methods. Parameters such as nodal displacement, stresses on the single reticulated layer and internal forces of the tension members that influence the structures integrity were considered. Results show that despite the antistrophic nature of carbon fiber reinforced polymer it possesses similar characteristics as steel cables.