In practical engineering application, it is necessary to judge the stability of direct current distributed power system (DCDPS) by using stability criteria, so as to adopt appropriate control strategies. Therefore, stability criteria of DCDPS are generally interested by scholars at home and abroad. The basic idea and characteristics of stability criteria based on equivalent source converter (subsystem) and equivalent load converter (subsystem), a bus voltage-controlled converter and a bus current-controlled converter, passivity and large disturbance signal were analyzed. Based on the above analysis, the advantages and defects of the stability criteria were pointed out. The research trends of the stability criteria for DCDPS were put forward, and a new method of stability criteria was proposed by combining passivity-based stability criterion and other stability criteria.