The FP-LAPW method is employed and the gradient generalized approximation (GGA) is used to treat the exchange-correlation potential. In this study we considered the A₃Ti₀.₅V₀.₅ alloy case. In which we investigated the structural stability of the tetragonal DO₂₂ and cubic Ll₂ ternary alloy Al₃Ti₀.₅V₀.₅ relative to the Al₃Ti and Al₃V. The total energy calculation as a function of its volume shows that the tetragonal phase is the more stable one. The information enthalpies are calculated. The total and partial density of state exhibits a deep-pseudo gap near the Fermi level and the transition metal contribution to the DOS is almost entirely formed by the d-electrons.