The main goal of this paper is study of the Hyers-Ulam-Rassias stability (briefly HUR- approximation) of the following Euler-Lagrange type additive(briefly ELTA) functional equation n∑ j=1 f 12 ∑ 1≤i≤n,i, j rixi − 12 r jx j  + n∑ i=1 ri f (xi) = n f 12 n∑ i=1 rixi  where r1, · · · , rn ∈ R, ∑ni=k rk , 0, and ri, r j , 0 for some 1 ≤ i < j ≤ n, in fuzzy normed spaces. The concept of HUR-approximation 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