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• Magnetocrystalline anisotropy (MCA) increases when nitrogen is doped in the center of Pt layer. • MCA decreases when oxygen is doped in the center of Pt layer. • MCA decreases when nitrogen is doped in the center of Fe layer. • MCA decreases when oxygen is doped in the center of Fe layer. We studied the magnetic and electronic properties of L 1 0 -FePt alloy interstitial doped by oxygen or nitrogen using tetragonal distortion. We applied the density functional theory from first principle until the exchange–correlation energy; the generalized gradient approximation (GGA) of Perdew–Burke–Ernzerhof (PBE) was used. We found that the magnetocrystalline anisotropy MCA significantly increased for FePt:N Pt and our obtained value was 3.879 meV, which exceeds the pristine value. The anisotropy field H a , saturation magnetization M s and the energy product B H m a x were nearly close to the pristine value. These parameters can be tuned for practical applications. Calculations of formation energy E for reveal promotion of stability with doping. Density of state calculations showed strong hybridization of d -orbits with 2 p orbits of O or N. Moreover, with doping, there was an enhancement of energy states at Fermi level. [ABSTRACT FROM AUTHOR]