The robust stability analysis of large-scale interconnected systems constrained by time-varying delays among subsystems is studied. In practical engineering applications, due to the spatially distributed nature of large-scale interconnected systems, the transfer of information among subsystems is usually affected by communication delays. Based on the integral quadratic constraint theory, the calculationally efficient conditions of robust stability for the large-scale interconnected systems were established by taking advantage of the sparsity of the subsystem connection topology. The derived decoupling robust stability conditions rely solely on the subsystem connection matrix, each subsystem parameter and the chosen integral quadratic constraint multiplier. Finally, the simulation results showed that the obtained conditions are valid for the analysis of large-scale interconnected systems constrained by time-varying delays among subsystems.