  In this paper, we construct a model with the help of modular symmetry in the
framework of minimal inverse seesaw [ISS(2,3)]. We have used $\Gamma(3)$
modular group which is isomorphic to non-Abelian discrete symmetry group $A_4$.
In this group there are three Yukawa modular forms of weight 2. Through this
model, we study neutrino masses and mixing for both normal and inverted
hierarchy. Use of modular symmetry reduces the need for extra flavons and their
specific VEV alignments, as such, minimality of the model is maintained to a
great extent. Along with $A_4$ symmetry group, we have used $Z_3$ to restrict
certain interaction terms in the Lagrangian. Further we calculate the effective
mass to address the phenomena of neutrinoless double-beta decay
($0\nu\beta\beta$). The values of effective mass is found to lie within the
bound ($m_{eff}<0.165$ eV) as predicted by different $0\nu\beta\beta$
experiments.
