We show that in any invisible axion model due to the effects of effective nonrenormalizable interactions related to an energy scale near the Peccei-Quinn, grand unification or even the Planck scale, active neutrinos necessarily acquire masses in the sub-eV range. Moreover, if sterile neutrinos are also included and if appropriate cyclic Z N symmetries are imposed, it is possible that some of these neutrinos are heavy while others are light. DOI: 10.1103/PhysRevD.73.017701 PACS numbers: 14.80.Mz, 14.60.St, 14.60.Pq A natural and elegant way to explain the small value of the active neutrino's masses is the so-called seesaw mechanism which is implemented when heavy right-handed sterile neutrinos, i. e., transforming as singlet under the standard model SU2 L U1 Y gauge symmetry, are added [1]. Moreover, depending on future neutrino oscillation data, light sterile neutrinos [2] may be a necessary ingredient of the physics beyond the standard model. From neutrino oscillation experiments we already know that active neutrinos have a nonvanishing mass in the sub-eV region [3,4] but, since the Z 0 invisible width implies the existence of only three light active neutrinos, any additional light neutrino has to be sterile and there are several possibilities that keep consistency with LEP data [5,6]. The problem is how to implement, in a natural way, light sterile neutrinos. Since they are not protected by the standard model symmetries, they may acquire Majorana masses of the order of the next (if any) energy scale. A solution is the addition of sterile Higgs scalars and a new exact global symmetry [7,8]. The important point is that such a symmetry forbids the Dirac mass term avoiding in this way the seesaw mechanism and the sterile scalar singlet having a vacuum expectation value chosen just to generate light sterile neutrinos. Light sterile neutrinos may also appear in supersymmetric models [9].On the other hand, the introduction of a global chiral (Peccei-Quinn) symmetry is an elegant solution to the strong CP problem [10] implying in the existence of a pseudo Goldstone boson, the axion [11], which besides solving the strong CP problem it is certainly a leading candidate for dark matter. Searches for the axion have been done over the years. Recently, an upper limit was obtained for the axion-photon coupling g a < 1:16 10 ÿ10 GeV ÿ1 if m a & 0:02 eV [12,13]. In fact, the expected mass for the axion, coming from several experimental or observational constraints, is in the interval 10 ÿ6 < m a < 10 ÿ2 eV, and we see that this interval is near to the neutrino masses required to explain solar and atmospheric neutrino data [3]. This fact suggests the existence of a common new energy scale being responsible for such small masses, which in this case would be that one related to the invisible axion.Although the existence of a relation between the axion and the seesaw mechanism for generating neutrino masses has already been considered, in particular models [14], here we will put forward that it is inevitable that neutrinos get ...