In this paper,we consider a class of HIV treatment model with uninfected CD4+T cells,infected CD4+T cells in the eclipse phase and productively infected cells. Then we get the sufficient condition of locally asymptotic stability of uninfected and infected e-quilibriums in the treament model without impulsive infusing immune factors. By using the comparison theorem of impulsive differential equation and Floquent multiplier theory, we obtain the sufficient conditions for the global asymptotic stability of the disease-free period-ic solution in ...