Using molecular dynamics simulations, the energies of formation and migration of vacancies and interstitial atoms in the ordered CuPt and CuPt3 alloys are estimated. The energy-favorable configurations of the interstitial atoms are determined. In CuPt, high diffusion anisotropy is revealed during migration of an interstitial atom: in the ordered CuPt alloys it generally migrates along (111) planes containing Cu atoms.