  In this note we discuss a generalization of the Lipatov's effective action
approach, \cite{LipatovEff,LipatovEff1}, for the case of description of gluon
and quark production amplitudes in the quasi-multi-Regge kinematics. Following
to \cite{Faddeev}, we define the S-matrix elements of high energy QCD processes
in this kinematics and discuss applications of the obtained results.
