Let L be a Filippov algebra. A derivation of L is called an ID -derivation if its image is contained in the derived algebra of L. Let ID ∗ ( L ) be the set of all ID -derivations which map central elements to 0. We prove that ID ∗ ( L ) and ID ∗ ( M ) are isomorphic for any two isoclinic Filippov algebras L and M.