The　optical　and　thermodynamic　properties　of　aluminum　oxide　(Al2O3)　were　investigated　through　the　density　functional　theory.　In　this　paper,　to　examine　the　structural　parameters　the　GGA-PBEsol　potential　was　used.　The　Becke-Johnson　(TB-mBJ)　potential　was　applied　to　estimate　the　optical　properties,　and　the　Gibbs2　code　was　used　to　examine　the　thermodynamic　behavior　of　Al2O3.　The　optical　analysis　shows　that　the　optical　properties　were　improved　and　the　spectrum　red-shifted　occurs　under　high　pressure.　The　thermodynamics　behavior　of　the　Al2O3　in　temperatures　ranging　from　0K　to　1400K　and　the　pressure　ranging　from　0GPa　to　60GPa　were　achieved　using　the　quasi-harmonic　Debye　model　to　elucidate　the　relationships　between　thermodynamic　parameters　and　temperature　under　variant　pressure.　The　results　show　that　the　optical　and　thermodynamic　properties　of　Al2O3　are　significantly　improved　under　high　pressure.　This　enhancement　suggests　that　Al2O3　could　be　used　more　effectively　in　many　industrial　applications,　including　high-performance　ceramics,　thermal　barrier　coatings　and　as　an　optical　material　in　devices　such　as　lasers　and　sensors.　In　addition,　the　findings　provide　important　insights　into　the　behavior　of　Al2O3　compounds　under　high-pressure　environments,　which　could　enhance　material　design　procedures　for　advanced　technologies.