To explore how intermolecular hydrogen bond (H-bond) interactions enhance the density and stability of energetic molecular systems, the intermolecular H-bonding nature of different dimer isomers derived from a new-generation ecofriendly energetic molecule, 3,6-dihydrazino-s-tetrazine is studied. First-principles calculations showed that the critical point of the electron localization function on H-bonds (H…N) lines increased with the enhancement of the H-bond strength, confirming that covalent properties of H-bonds are more important as their strength is stronger. Further energy decomposition analysis indicates that the induced effect accounts for more than 18% of intermolecular interaction attraction terms in planar isomers, reflecting the indispensable covalent-like feature of H-bonds in energetic molecular systems. Moreover, molecular orbitals exhibit clear delocalization characteristics penetrating H-bond regions, which also provide important evidence for covalent-like features of H-bonds. These findings provide new insights to further understand and even regulate the insensitivity of energetic materials.