To further improve the resource efficiency of the p-polyhedron protection scheme against multi-link failures in optical data center networks (ODCNs), the content connectivity is considered when constructing the p-polyhedron structure. In this paper, the content connectivity-based polyhedron protection (CCPP) scheme is proposed. An ILP model and a heuristic algorithm are developed to realize the CCPP scheme. Numerical results show that the proposed CCPP scheme has a lower network redundancy. Moreover, the network redundancy of the CCPP scheme is positively correlated with the degree of content connectivity.