  We construct an $S_4$ flavour symmetric minimal inverse seesaw model where
the standard model is extended by adding two right-handed and two standard
model gauge singlets neutrinos to explain the origin of tiny neutrino masses.
The resulting model describes the lepton mass spectra and flavour mixing quite
well for the case of the normal hierarchy of neutrino masses. The prediction of
the model on the Dirac CP-violating phase is centered around $370.087^\circ$.
Furthermore, using the allowed region for the model parameters, we have
calculated the value of the effective Majorana neutrino mass, $\lvert\langle
m_{ee}\rangle\rvert$, which characterizes neutrinoless double beta decay.
