The calculations of the crystal structures, in-crystal intermolecular interactions, physicochemical properties, crystal stability and detonation performance for 16 reported cocrystal explosives were carried out to explore their effect on crystal stability and detonation performance of cocrystal explosives. We show that the crystal stability of the cocrystal explosives is mainly determined by the hydrogen bonding (HB) amount when the HB strength is less than 21 kJ·mol^-1. When the HB strength is more than 21 kJ·mol^-1, the crystal stability of the cocrystal explosives is mainly determined by the HB strength. Compared to traditional single-component explosives, the reported 16 cocrystals exhibit better nitrogen content and oxygen balance, but their material densities and detonation performance are less competitive. Through the analysis of CL-20 cocrystal explosives, it is theoretically suggested that enhancing HB strength, instead of introducing more hydrogen atoms to increase HB amount, could be useful to improve crystal stability of cocrystal explosives. This strategy can simultaneously meet the requirement of oxygen balance and nitrogen content in resulting satisfactory detonation performance of cocrystal explosives.