A cement composition comprising a cement settable by hydration and subject to carbonation and a cement admixture which is a non-hydraulic material comprising the compound γ-2CaO·SiO2 as a main component, the total content of γ-2CaO·SiO2 in the non-hydraulic admixture material being 65% or more, the content of 12CaO·7Al2O3 and/or 11CaO·7Al2O3·CaF2 being 25% or less, the total content of fluorine being 2% or less, and the content of the cement admixture being 5-50 parts in 100 parts of the total of the cement and the cement admixture.