Abstract : Let S H f be the Schwarzian derivative of a univalent harmonic function f in the unit disk D, compatible with a finitely generated Fuchsian group G of the second kind. We show that if S H f 2 1 − z 2 3 d x d y satisfies the Carleson condition on the infinite boundary of the Dirichlet fundamental domain F of G, then S H f 2 1 − z 2 3 d x d y is a Carleson measure in D .