Ab initio and DFT calculations have been performed to characterize some ground state structures of the title molecules. Relative energies, rotational barriers, NBO charges, and dipole moments (l) have been calculated and analyzed. It has been confirmed that only highly correlated methods (e.g., CCSD) are able to yield the non-planar structure as a minimum, for the H 2 NNO molecule. On the other hand, all computational levels here employed are able to yield a planar C 2 NNO frame for the (CH 3 ) 2 NNO as a minimum. Important correlations between atomic charges and bond distances are discussed. Replacement of H by methyl group increases the rotational barrier and l values by at least 3 kcal/mol and 0.4 D, respectively. The largest l values are obtained for the structures in which the nitrogen lone pair is parallel to the NO group p system, and are consistent with a larger contribution of a dipolar resonance structure.