We consider the Hyers-Ulam-Rassias stability problem ${parallel}2u{circ}frac{A}{2}-u{circ}P_1-u{circ}P_2{parallel}{leq}{varepsilon}({mid}x{mid}^p+{mid}y{mid}^p)$, $x,y{in}{mathbb{R}}^n$ for the Schwartz distributions u, which is a distributional version of the Hyers-Ulam-Rassias stability problem of the Jensen functional equation ${mid}2f(frac{x+y}{2})-f(x)-F(y){mid}{leq}{varepsilon}({mid}x{mid}^p+{mid}y{mid}^p)$, $x,y{in}{mathbb{R}}^n$ for the function f : ${mathbb{R}}^n{ ightarrow}{mathbb{C}}$.