A set of CTL-lines in the system differing in the whole H-2 complex, as well as in distinct subregions of H-2, was established. These lines were routinely tested in Cr51-release assay to insure that they retained lytic activity and antigen-specificity. The result of the interaction of CTL with H-2Kb-molecule and alpha1-thymosine was transition of CTL into a reversible state of anergy. A high concentration of alpha1-thymosine is necessary for this transition. Anergic CTL caused specific suppressor activity that is functional if transformation of CTL into T-suppressors took place.