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Using the classical ensemble model,we investigate the nonsequential double ionization(NSDI)of Ar and Mg in the two-color elliptically polarized laser pulse for different elliptical polarizations.Numerical results show that for Ar atoms the NSDI yield increases as the ellipticity increases,which is different from the case of Mg atoms.Moreover,the correlated behavior in the correlated electron momentum along the x direction and ion momentum distributions of Ar atoms are influenced by the ellipticity.By statistical analysis of different times,we can conclude that the ellipticity may be responsible for the NSDI processes.The correlated momenta distributions along the x direction at the recollision time are demonstrated and the results show that the travelling time and ellipticity can affect the emitted directions of both electrons.