The setvalued optimization problem，with a wide application prospects，is a kind of mathematical model which is very close to our practical life. 〖BP)〗Aiming at the setvalued optimization problem of approximate Henig proper effective point, we proposed to establish the stability results of the approximate Henig proper effective point for the C-convex setvalued optimization problem under the condition that the functions and feasible region of the objective setvalued optimization problems are perturbed. And the stability study of approximate Henig proper efficient points is extended from vectorvalued optimization problems to set valued optimization problems. Firstly, we gave the concept of ΓC convergence of setvalued function sequence, compared the relationship between the PainlevéKuratowski convergence and ΓC convergence, and found that the PainlevéKuratowski convergence is weaker than ΓC convergence. Secondly, we used the PainleveKuratowski convergence to establish the stability result of approximate Henig proper efficient points. We obtain the antiinterference stability results of the approximate Henig proper effective points for the setvalued optimization problem when the data of the disturbed setvalued optimization problem PainleveKuratowski converges to the data of the objective setvalued optimization problem. The results have an important theoretical value for the stability study of approximate Henig proper effective points of setvalued optimization problems in numerical calculation and analysis.