Abstract: The stability of approximate solutions set to parametric set-valued optimization problem is discussed in normed linear space. Firstly, the concepts and properties for two kinds of (weak) approximate solutions to parametric set-valued optimization problem are given. Secondly, under the assumption that the set-valued mapping of objective function having strict approximate upper (lower) cone convexity, the upper semicontinuity theorems for two kinds of (weak) approximate solutions set to parametric set-valued optimization problems are obtained. Finally, the sufficient conditions for the lower semicontinuity of two kinds of (weak) approximate solution sets to parametric set-valued optimization problems are studied by using the method of level mapping.