The ground state rotational spectrum of gauche-N2F4has been investigated between 8 and 200 GHz, including quantum states up toJ= 74 andKa= 39. Quadrupole coupling hyperfine structures were analysed to give χaa= 2·246(12) MHz and χcc= -1·792(5) MHz. The hypothetical (eQ= 0) centre frequencies were fitted using a rigid-rotor hamiltonian including centrifugal-distortion terms up to eighth degree in (J, K). The rotational constants areA= 5576·1995(1) MHz,B= 3189·432 77(8) MHz andC= 2813·169 55(8) MHz. The electric dipole moment along thecaxis was determined from field shifts of magic-doublet components to be μe= 0·256(4) D.