The subject of metal–metal bonding interactions in molecular systems continues to attract research interest. Chromium heretofore has been the only element known to afford metal–metal distances shorter than 1.700 Å in the form of Cr–Cr multiple bonds. In this computational study, the effect of a triple bond on reducing interatomic distances is simulated through forming three non-classical bonding orbitals between two beryllium atoms, thereby realizing the remarkably short Be–Be distances (1.692–1.735 Å) in kinetically stable global minimum species [L → Be2H3 ← L]+ (L = NH3, PH3, and noble gases Ne–Xe). Such diberyllium complexes make promising candidates for experimental realization. In particular, the Be–Be distance of 1.692 Å in [Ne → Be2H3 ← Ne]+ represents the first example of global minimum having a main group metal–metal distance under 1.700 Å. [TEA → Be2H3 ← TEA]+, which contains the bulky triethylamine (TEA) ligands, is designed as a more promising target for synthesis and isolation in condensed states.