To understand the properties of the novel polynitrogen compound hexazine anion ［N₆］^4-， computational chemical methods were used to study the electronic structure， bonding properties and aromaticity of N₆， ［N₆］^2- and ［N₆］^4-. The M06-2X method combined with the def2-TZVP basis set was used to optimized the structures and calculated the electronic structure features， such as bond length， bond angle， dihedral angle， molecular size and so on. Subsequently， multiple bond orders were calculated， using the atoms-in-molecules （AIM） theory to calculate multiple bond properties， and drawing the electron deformation density map to directly show the bond behavior. Finally， various aromatic indices were calculated to show the aromatic characteristics of three hexazine rings. The calculation results show that by comparing with the electronic structure optimized by CCSD， the M06-2X method in the common DFT method is suitable for studying the current system. Mayer bond order shows that the N—N bond has a certain degree of σ bond characteristics. The aromaticity study shows that the［N₆］^4- is aromatic， with the aromatic harmonic oscillator model （HOMA） value at 0.96 and the nuclear independent chemical shift （NICS_ZZ（1）） at -18.97. The IR， Raman and UV-Visible spectra of ［N₆］^4- were simulated to provide reference for experimental detection.