An uncoupled method based on an implicit dual time-step approach for nonequilibrium flows is developed.Flow and reaction are separated by using operator-splitting method.Flow equations are solved by a dual time-step approach and source equations are solved by 2nd order trapezoidal formulas.A source-eliminating method is designed to remove error imposed to the solution by chemical source,which is very effective to assure time precision of flow-solving.Analysis and computations suggest that the method maintains efficiency of dual time-step approach as well as precision of unsteady computational results.