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We study a 3-3-1 model based on non-Abelian discrete symmetry group $T_{13}$which accommodates lepton mixing with non-zero $\theta_{13}$ and CP violationphase. The neutrinos get small masses and mixing with CP violation phase from$SU(3)_L$ antisextets which are all in triplets under $T_{13}$. If bothbreakings $T_{13}\rightarrow Z_3$ and $Z_{3}\rightarrow \{\mathrm{Identity}\}$are taken palce in neutrino sector and $T_{13}$ is broken into $Z_3$ in leptonsector, the realistic neutrino mixing form is obtained as a natural consequenceof $P_l$ and $T_{13}$ symmetries. The model predicts the lepton mixing withnon-zero $\theta_{13}$, and also gives a remarkable prediction of Dirac CPviolation $\delta_{CP}=292.5^\circ$ in the normal spectrum, and$\delta_{CP}=303.161^\circ$ in the inverted spectrum which is still missing inthe neutrino mixing matrix. There exist some regions of model parameters thatcan fit the experimental data in 2014 on neutrino masses and mixing withoutperturbation.

Lepton mixing and CP violation phase in the 3-3-1 model with neutral leptons based on T13 flavor symmetry