We report a theoretical study on the electronic structures of indium oxide (In 2 O 3 ) and indium tin oxide (ITO) carried out using our original tight-binding quantum chemical calculation program ''Colors'', which is over 5,000 times faster than the conventional first-principles quantum chemical calculation method. The calculated band gap of In 2 O 3 is in good agreement with the experimental results, although the value obtained by conventional first-principles calculation is less than half the experimental one. The electronic structures of In 2 O 3 calculated by our tight-binding method are consistent with those obtained by first-principles calculations. Furthermore, the doping of tin atoms into In 2 O 3 increased the band gap, which is also in good agreement with the experimental tendency. Hence, we confirmed that our tight-binding quantum chemical calculation method was very effective for investigation and predicting the electronic structures of In 2 O 3 and ITO crystals with high accuracy and reliability in spite of its high calculation speed.