Recently the stability of the quadratic functional equation f(x+y)+f(xy) = 2f(x)+2f(y) was proved in the earlier works. In this article,we prove the generalized Hyers-Ulam stability of the pexiderial func-tional equation f(x+y)+f(xy) = 2g(x)+2g(y) in non-Archimedean normed spaces.The concept of Hyers-Ulam-Rassias stability originated from Th. M.Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.