The ordering processes of equiatomic alloy CuPt by anisothermal annealing were investigated by means of electrical resistivity measurements, X-ray diffraction and optical microscopic observation.The main results are as follows:(1) Disordered CuPt attains an equilibrium ordered state via the coexistence state of disordered and ordered phases.(2) There are three stages on the ordering process in CuPt alloy; the first stage corresponds to the migration and annihilation of quenched-in excess vacancies (stage Ia), the second to the annihilation of secondary lattice defects (Ib) and the third to the diffusion of equilibrium vacancies (II).(3) Discontinuous ordering corresponding to the boundary reaction occurs at stage Ia followed by continuous ordering to perfect order at stages Ib and II.(4) The activation energies for stages Ia, Ib and II are 0.77, 1.05, 2.42×105 J/mol, respectively.