Summary: We investigate finite dimensional Lie algebras \(L\) over an algebraically closed field of characteristic 0 which split over their arbitrary ideals (i.e. in which for every ideal \(I\) there exists a subalgebra \(A\) such that \(L = I + A, I\cap A = 0\)). It turns out in particular that in the solvable case all subalgebras of such algebras are complemented and non-solvable Lie algebras of such type contain an Abelian ideal which is complemented by a reductive subalgebra.