  We investigate about the stability of generalized QCD ghost dark energy model
against perturbations in the FRW background. For this purpose, we use the
squared sound speed $v_s^2$ whose sign determines the stability of the model.
We explore the stability of this model in the presence/absence of interaction
between dark energy and dark matter in both flat and non-flat geometry. In all
cases we find almost a same result. Based on the square sound speed analysis,
due to the existence of a free parameter in this model, the model is
theoretically capable to lead a dark energy dominated stable universe. However,
observational constraints rule out such a chance. In conclusion, we find
evidences that the generalized ghost dark energy might can not lead to a stable
universe favored by observations at the present time.
