The object of this paper is to study($sigma,; au$)-Lie ideals in semi-prime rings with derivation. Main result is the following theorem: Let R be a semi-prime ring with 2-torsion free, $sigma$ and $ au$ two automorphisms of R such that $sigma au= ausigma$=, U be both a non-zero ($sigma,; au$)-Lie ideal and subring of R. If $d^2(U)=0$, then d(U)=0 where d a non-zero derivation of R such that $dsigma={sigma}d,;d au={ au}d$.