Some novel cyclic operating modes of counter-current chromatography have been suggested. Chromatographic separation processes with two zones of different partition coefficients and with extraction and scrubbing (washing) zones are mathematically described using the eluting counter-current distribution approach. Two possible cyclic modes of dual counter-current chromatography operation, with simultaneous and alternate transfers of the phases, are analyzed. It is shown that the operating mode with the alternate transfers of the phases provides considerably higher separation efficiency than the mode with simultaneous transfers of both phases.