  A phenomenological generalized ghost dark energy model has been studied under
the framework of FRW universe. In ghost dark energy model the energy density
depends linearly on Hubble parameter (H) but in this dark energy model, the
energy density contains a the sub-leading term which is depends on $\mathcal{O}
(H^2)$, so the energy density takes the form $\rho_D=\alpha H+ \beta H^2$,
where $\alpha$ and $\beta$ are the constants. The solutions of the Friedman
equation of our model leads to a stable universe. We have fitted our model with
the present observational data including Stern data set. With the help of best
fit results we find the adiabatic sound speed remains positive throughout the
cosmic evolution, that claims the stability of the model. The flipping of the
signature of deceleration parameter at the value of scale factor $a=0.5$
indicates that the universe is at the stage of acceleration i.e. de Sitter
phase of the universe at late time. Our model shows that the acceleration of
the universe begin at redshift $z_{ace}\approx 0.617$ and the model is also
consistent with the current observational data.
