We consider a rhombohedral-stacked $N$-layer graphene coupled to a monolayer of Haldane model. We show that high-order Dirac points in multilayer graphene can be gapped out by the topological proximity effect of the Haldane model layer, leading to total Chern number $\left|C\right|=N+1$ quantum anomalous Hall states. This provides another way to construct high Chern number quantum anomalous Hall states in realistic crystalline graphene systems.

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• Quantum anomalous Hall effect
• Topological materials
• Chern insulators
• Honeycomb lattice
• Tight-binding model