The electron-spin magnetic moments of the superoxides LiO 2 and NaO 2 , as parametrized by the g factors, are studied at the uncorrelated (ROHF) and correlated (MRCI) ab initio levels. The present method, which uses a perturbative approach complete to second order, is based on the Breit-Pauli Hamiltonian. In the standard C 2V notation for the MO 2 radicals, ∆g yy > ∆g zz . |∆g xx |, where ∆g aa ) g aag e . The perpendicular component ∆g xx , which is small and negative, is dictated by first-order terms (ground-state expectation values). The in-plane components ∆g yy and ∆g zz are large and positive. ∆g yy is governed by the second-order magnetic coupling between X 2 A 2 and 1 2 B 2 (electron excitation from the highest b 2 MO into the a 2 (π*) SOMO), and ∆g zz by the coupling with two 2 A 1 states (excitations from the two highest a 1 MOs into π*). The calculated data reproduce the experimental trends reasonable well. For the ground state X 2 A 2 , the MRCI results for ∆g xx , ∆g yy , ∆g zz (in ppm, with ppm ) 10 -6 ) are -373 (-350), 56 800 (56 250), 7273 (6600) for LiO 2 ; and -393 (150), 110 492 (108 600), 6868 (4600) for NaO 2 , with the experimental results given in parentheses (average from Ar and Kr matrices). For comparison purposes, the g shifts of the low-lying excited state 1 2 B 2 of LiO 2 and NaO 2 , as well as the magnetic coupling parameters for O 2 -, LiO, and NaO, are also reported.