  We propose a simple renormalizable model for the spontaneous CP violation
based on $SU(2)_{L}\times U(1)_{Y}\times A_{4}$ symmetry in a radiative seesaw
mechanism, which can be guaranteed by an extra $Z_{2}$ symmetry. In our model
CP is spontaneously broken at high energies, after breaking of flavor symmetry,
by a complex vacuum expectation value of $A_{4}$-triplet and gauge singlet
scalar field. We show that the spontaneously generated CP phase could become a
natural source of leptogenesis, %CP violation for neutrino oscillation and
leptogenesis, respectively. Then, and also investigate CP violation at low
energies in the lepton sector and show how the CP phases in PMNS could be
arisen through spontaneous symmetry breaking mechanism.
  As a numerical study, interestingly, we show that the normal mass hierarchy
favors relatively large values of $\theta_{13}$, large deviations from
maximality of $\theta_{23}<\pi/4$ and Dirac-CP phase
$0^{\circ}\leq\delta_{CP}\leq50^{\circ}$ and
$300^{\circ}\leq\delta_{CP}\leq360^{\circ}$. For the inverted hierarchy case,
the experimentally measured values of $\theta_{13}$ favors $\theta_{23}>\pi/4$
and discrete values of $\delta_{CP}$ around
$100^{\circ},135^{\circ},255^{\circ}$ and $300^{\circ}$. Finally, with a
successful leptogenesis our numerical results give more predictive values on
the Dirac CP phase: for the normal mass hierarchy
$1^{\circ}\lesssim\delta_{CP}\lesssim10^{\circ}$ and for inverted one
$\delta_{CP}\sim100^{\circ},135^{\circ},300^{\circ}$.
