The nuclear quadrupole interaction parameters for the three ¹⁴N nucleus in the ring of RDX have been calculated using the Hartree-Fock procedure. The calculated quadrupole coupling constants for the three ¹⁴N nucleus are 5.671,5.808 and 5.838 MHz,and the asymmetry parameters 0.545,0.560 and 0.564,respectively,approaching the corresponding experimental values(5.675,5.778 and 5.887 MHz for coupling constants,0.608 0,0.638 0 and 0.614 0 for asymmetry parameters). But the order of calculated quadrupole coupling constants of the three ¹⁴N nucleus is different from that of the experimental,and the reason has been analyzed.