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The ab-initio molecular dynamics (MD) calculations of the yttrium - aluminate binary system 23Y2O3·77Al2O3 were performed with help of the Vienna ab-initio simulation package VASP. The thermodynamic model (TD) of glasses of the studied binary system was constructed. Both the Y/O and Al/O coordination numbers calculated from the partial pair radial distribution function (PP RDF) obtained for MD simulated melt at the temperature of 2500 K were significantly lower than the corresponding coordination numbers obtained from the TD model. The published neutron diffraction and X-ray diffraction studies give the results close to the results of the present ab-initio MD simulation. The TD model resulted in higher Al/O and Y/O coordination when compared with experimental results.