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Upon the importance of the preservation of nonclassical properties, in this paper we investigate the effect of temporal stability on the stability of nonclassicality features of two classes of generalized coherent states that are temporal stable and nontemporal stable. We use the Gazeau–Klauder coherent states as the temporal stable states and nonlinear coherent states as the nontemporal stable states. Among the nonclassical criteria, we pay attention to first and second-order squeezing, Mandel parameter, second-order correlation function, Wigner and Hussimi functions. In addition, the auto-correlation function of states are obtained and the quantum feature of the observed revival and collapse phenomena of the two considered classes of states are compared.