Let Sn = K[[x1, . . . , xn]] be the algebra of power series over a field K of characteristic zero, S c n be the group of continuous automorphisms of Sn with constant Jacobian, and Div c n be the Lie algebra of derivations of Sn with constant divergence. We prove that AutLie(Div c n) = AutLie,c(Div c n) ≃ S c n.