The Al±Ni±Ti phase diagram has been thermodynamically assessed and a consistent set of thermodynamic functions has been developed. The thermodynamic modeling is based on an experimental investigation of the phase equilibria in the composition range of 0.14x Al 40.7. Alloys were prepared by argon-arc or vacuum-electron beam melting of elemental powder blends. X-ray powder diraction, metallography, SEM and EMPA-techniques were employed to analyze the samples in the as-cast state as well as after annealing at 800, 900 and 1000 C. The existence of the four ternary compounds, ( 1 to ( 4 , has been con®rmed, although homogeneity regions dier signi®cantly from reports in the literature. The homogeneous phase, previously claimed at ``Al 23 Ni 26 Ti 51 '', is shown by high resolution microprobe and X-ray diraction measurements to be an extremely ®ne-grained eutectic structure. The congruent melting behavior of ( 4 elxi 2 i is con®rmed, but, in contrast to earlier reports, primary crystallization and congruent melting have been observed for ( 1 el 13 xi 2 i 5 and ( 3 el 3 xii 2 . In contrast to earlier assessments, ( 1 Y( 2 and ( 3 are experimentally found to be stable at 800, 900 and 1000 C. The thermodynamic modeling of the ternary phases ( 2 and ( 3 is done with sim-pli®ed sublattice models, considering their crystal structure and homogeneity ranges. The sublattice model for ( 4 is taken from an earlier asessment of the nickel-rich ternary phase equilibria. The present assessment covers the entire composition range. An application to the solidi®cation behavior of ternary alloys is also exempli®ed.