In this paper, two C25 strength grades of natural aggregate concrete (NAC) and recycled aggregate concrete (RAC) were prepared, and the compressive strength, splitting tensile strength and anti-wear strength were studied. And analyzing the two kinds of concrete under uniaxial compressive and tension state of the constitutive relation, the corresponding constitutive equation is established. The research results showed that: compared with NAC, the compressive strength of RAC at 7d, 28d and 56d decreased by 3.17%, 6.68% and 8.42% respectively, and the splitting tensile strength of RAC at 7d, 28d and 56d decreased by 4.76%, 6.67% and 5.48% respectively, the anti-wear strength decreased 59.02%, and the wear rate of specimens increased by 157.87%; the stress-strain curves of two kinds of concrete under uniaxial compression and tension were fitted, and the related constitutive equations were established. Although the mechanical properties of RAC are lower than that of NAC, they are not much different and can be used to replace NAC to some extent.