Abstract: In order to save computing time of elasto-plastic contact problems a new approach is suggested in this paper. Infact, the approach is a combination of "analysis of elastic contact problems by mixed approach" (25 and "finite element analysis of elasto-plastic materials by condensed approach" [1]. Most of the computations can be operated only in very small" mixed region" and "contact region" in this approach, so computing time is saved greatly.Related formulas are derived and the contact stresses between the blade root and the turbine disk are calculated and discussed.