Form factors in quantum integrable models with GL(3)GL(3)-invariant R-matrix

We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)GL(3)-invariant R  -matrix. We obtain determinant representations for form factors of off-diagonal entries of the monodromy matrix. These representations can be used for the calculation of form factors and correlation functions of the XXX SU(3)SU(3)-invariant Heisenberg chain.