Abstract: The Mohr-Coulomb and Drucker-Prager yield criteria are used widely in geotechnical engineering.Results of the former are reliable,and those of the latter are more efficient in the numerical calculation.This paper deduces the accurate equations which can transform one criterion to another under the plane strain condition. The analysis of an example of slope stability shows that the safe factors obtained from the Mohr-Coulomb criterion being a match for D-P yield criterion provided in this paper is more accurate than those from the other D-P and Mohr-Coulomb equivalent area circle criteria,moreover it is convenient to execute numerical calculation for D-P criterion.