The structure of a Two-phase detonation in carbon particles laden gases has been numerically investigated by assumption of steady and one-dimensional flow. The gases used were air or pure oxygen. The initial oxygen partial pressure in the pre-shock zone had a great influence on the burning rate of a carbon particle in the relaxation zone. Therefore the length of relaxation zone and the ignition delay time varied inversely with the initial pressure. In this study, the bow shock formation which is considered in front of carbon particles has been considered, which is considered to play a significant role when the relative velocity of gas flow to carbon particle exceeds the local speed of sound. But it was found that its effect was limited to the induction zone. In the remaining zones, the variation of physical properties was not greatly affected. Also, when the interior temperature distribution of carbon particle has been considered, the difference between the surface temperature and the temperature in the interior of the particle was large in the region of high relative velocity of gas flow to carbon particle. While the interior temperature distribution was almost uniform in the region of low relative velocity.