The specific ENDOR line at the free Larmor frequency Vp in the low temperature spectra of triplet state molecules is caused by degenerate NMR transitions within the M s = 0 zero-level (ZL) electron spin manifold. This ZL line was found to be orientationally dependent for the diradical complex Zn(3,6-di-tert-butyl-o-semiquinone)2Zn(DBSQ)2: the ZL line dominates the ENDOR spectrum if itis detected at the perpendicular canonical components of the EPR spectrum, and vanishes if the complex is oriented with its ZFS z-axis parallel to the direction of the magnetic field, i.e., if detected at the parallel canonical EPR components. This effect is shown to result from the interaction between nuclear spin substates of the S and T o manifolds, their levels being close to each other for the Zn(DBSQ) 2 complex. Such an interaction mixes the states and shifts energy levels. Consequently, it cancels the degeneracy of the nuclear substates within the ZL manifold and reduces the rate of nuclear flip-flop relaxation. This specific relaxation mechanism has been shown to substantially affect the amplitude of the ZL line (Doubinskii A.A., Lebedev Ya.S., M6bius K.: Appl. Magn. Reson. 13, 439 (1997)). The nuclear flip-flop relaxation effect is expected to be orientationally dependent since the S-T 0 separation depends upon the orientation of the diradical with respect to the external magnetic fiel&