The authors show that Peccei - Quinn(PQ) symmetry can be a natural outcome in the 3-3-1 model with right-handed neutrinos after imposing a Z11 x Z2 symmetry. This symmetry is suitable accommodated in this model when the authors augmented its spectrum by including a singlet scalar field with large VEV. the authors work out the breaking of the PQ symmetry, yielding the axion, and study the decay of axion into two photons. The result shows that the lifetime of axion is very long, therefore the axion can play the role of the late decaying particle(LDP) in a dark matter and it is stable in the universe.