In this paper, an integrated interlink structure of DC microgrid cluster with model predictive control (MPC) is proposed. In this structure, a novel multiport converter is used for energy conversion among DC microgrids, which can greatly reduce the voltage stress of switches in it. In addition, this paper proposes a two-layer control strategy for energy conversion of the DC microgrid cluster. The upper controller manages power distribution, and the lower controller uses the MPC method to realize energy conversion among DC microgrids. This control strategy has the advantages of simple modeling, multi-objective collaboration, and fast dynamic response. This paper analyzes the working principle of the proposed interlink structure and its control strategy in detail, and the theoretical analysis is verified by simulation.