Hardened concrete contains pores of varying types and sizes, and therefore the transport of air through concrete can be considered. The rate of permeability will not only depends on the continuity of pores, but also on the moisture contents in concrete and finishing material on concrete. Also it knows that the durability of reinforced concrete structure is concerned with air permeability which effects on the carbonation occurred by invasion of CO2 gas and the corrosion of steel bar occurred by O$_2$. In this paper, the effects of curing conditions and finishing materials on carbonation and air permeability are investigated according to the accelerated carbonation test. As results, carbonation velocity and air permeability are effected by curing conditions and finishing materials, and air permeability coefficient is effected by moisture content. Also the relationship between carbonation velocity coefficients and air permeability coefficients has been quite well established.