Community search aims to find highly cohesive connected subgraphs containing user query vertices in information networks. Cycle truss is a community search model based on cycle triangle. However, the existing index-based cycle truss community search methods suffer from the drawbacks of large index space, low search efficiency, and low community cohesion. A maximum cycle truss community search method based on hierarchical tree index was proposed to address this issue. Firstly, a k-cycle truss decomposition algorithm was proposed, and two important concepts, cycle triangle connectivity and k-level equivalence were introduced. Based on k-level equivalence, the hierarchical tree index TreeCIndex and the table index SuperTable were designed. On this basis, two efficient cycle truss community search algorithms were proposed. The proposed algorithms were compared with existing community search algorithms based on TrussIndex and EquiTruss on four real datasets. The experimental results show that the space consumptions of TreeCIndex and SuperTable are at least 41.5% lower and the index construction time is 8.2% to 98.3% lower compared to TrussIndex and EquiTruss; furthermore, the efficiencies of searching for maximum cycle truss communities is increased by one and two orders of magnitude.