Abstract: This paper considers parametric absolute stability of interconnected Lurie systems, with uncertain parameters and constant reference inputs. The notion of parametric stability is a joint problem of feasibility and stability of equilibrium states as the uncertain parameters vary. First, the existing condition of parametric stability and the stable region are studied by change of the uncertain parameters and reference input based on decentralized state feedback. Then, a sufficient condition in parametric stable region for interconnected Lurie system is proposed based on linear matrix inequality method. Finally, the existing sufficient condition of polytopic-interconnected Lurie systems is given to ensure the overall system to be parametric absolutely stable. The example shows the usefulness of the proposed method.