In this report, the problem of robust performance analysis of interconnected uncertain systems with hierarchical structure is considered. The computational load associated to such problems does not allow a direct application of robustness analysis usual tools. To overcome this difficulty, we exploit the hierarchical structure of the problem and propose an algorithm to perform robust-ness analysis using IQC " propagation " along the hierarchical structure. This algorithm allows to establish a trade-off between computation time required to perform the analysis and the conservatism of the obtained results. Furthermore, it is easy to perform parallel computation using the proposed algorithm.