The rotational spectrum of cis-cis HOONO has been studied over a broad range of frequencies, 13-840 GHz, using pulsed beam Fourier-transform microwave spectroscopy and room-temperature flow cell submillimeter spectroscopy. The rotational spectrum of the deuterated isotopomer, cis-cis DOONO, has been studied over a subset of this range, 84-640 GHz. Improved spectroscopic constants have been determined for HOONO, and the DOONO spectrum is analyzed for the first time. Weak-field Stark effect measurements in the region of 84-110 GHz have been employed to determine the molecular dipole moments of cis-cis HOONO ͓ a = 0.542͑8͒ D, b = 0.918͑15͒ D, = 1.07͑2͒ D͔ and DOONO ͓ a = 0.517͑9͒ D, b = 0.930͑15͒ D, = 1.06͑2͒ D͔. The quadrupole coupling tensor in the principal inertial axis system for the 14 N nucleus has been determined to be aa = 1.4907͑25͒ MHz, bb = −4.5990͑59͒ MHz, ab = 3.17͑147͒ MHz, and cc = 3.1082͑59͒ MHz. Coordinates of the H atom in the center-of-mass frame have been determined with use of the Kraitchman equations, ͉a H ͉ = 0.516 Å and ͉b H ͉ = 1.171 Å. The inertial defects of HOONO and DOONO are consistent with a planar equilibrium structure with significant out-of-plane H atom torsional motion. Comparisons of the present results are made to ab initio calculations.