The valence band anticrossing model has been used to calculate the heavy/light hole and spin-orbit split-off energies inInAs1-xBixandInSb1-xBixalloy systems. It is found that both the heavy/light hole, and spin-orbit splitE+levels move upwards in energy with an increase in Bi content in the alloy, whereas the splitE−energy for the holes shows a reverse trend. The model is also used to calculate the reduction of band gap energy with an increase in Bi mole fraction. The calculated values of band gap variation agree well with the available experimental data.