The invention belongs to the technical field of power systems and relates to an improved discrimination method of Lyapunov robust stability of a power system containing uncertain double-delay links, which is characterized by solving the Lyapunov functional of a double-delay system based on the Krasovskii theory, then expressing the derived function of a system trajectory from the functional by a group of linear matrix inequalities (LMI), reducing the conservation of the criterion by introducing a few necessary loose terms in the process of deducing functional derivatives and then transformingthe disturbance terms containing uncertainties by utilizing the Schur complement, thereby obtaining the stability criterion. The method of the invention has the advantages of less conservation and high operation efficiency.