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The creative design of kinematic structures with excellent performance remains an open issue in the quest for developing novel multi-loop mechanisms. This study presents an automatic method to synthesize all non-isomorphic planar multi-loop mechanisms satisfying the required connectivity between the base and the end-effector. First, based on the connectivity matrix calculation, all multi-loop mechanisms are generated from synthesized kinematic chains. Second, the concepts of perimeter, canonical and characteristic graphs of multi-color topological graphs are addressed to acquire the simplified characteristic hybrid code in order to eliminate isomorphic multi-loop mechanisms. Then, an automatic method to synthesize all non-isomorphic planar multi-loop mechanisms with the required connectivity between the base and the end-effector is provided. Third, a practical application of this synthesis method is illustrated by taking the mechanical arm of a face-shovel hydraulic excavator as an example to demonstrate the effectiveness of the method. Finally, the advantages of the proposed method are discussed and compared in detail.