  We investigate $ B_s^0\rightarrow l^+ l^-\gamma $ decays in a nonuniversal Z'
model derived from extension of the standard model (SM). Considering the
Z'-mediated flavor changing neutral current (FCNC) effects we calculate the
branching ratio and forwardbackward asymmetry for $ B_s^0\rightarrow l^+
l^-\gamma $ decay processes. We compare the obtained results with predictions
of the SM and discuss the sensitivity of the observables to Z' boson coupling
parameters. We find the branching ratios are enhanced by one order from SM
predictions in Z' model scenario. We also observe the variation of
forward-backward asymmetry with the Z' boson coupling parameters portrait
discrimination between NP effects and SM results.
