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In the internet protocol(IP) over multi-granular optical switch network (IP/MG-OXC), the network node is a typical multilayer switch comprising several layers, the IP packet switching (PXC) layer, wavelength switching (WXC) layer and fiber switching (FXC) layer.This network is capable of both IP layer grooming and wavelength grooming in a hierarchical manner.Resource provisioning in the multi-granular network paradigm is called hierarchical grooming problem.An integer linear programming (ILP) model is proposed to formulate the problem.An iterative heuristic approach is developed for solving the problem in large networks.Case study shows that IP/MG-OXC network is much more extendible and can significantly save the overall network cost as compared with IP over wavelength division multiplexing network.