The three-dimensional coupled heat transfer between high-temperature gas, regenerative cooling panels with parallel cooling channels were numerically investigated, in which kerosene of supercritical pressure was used as the coolant. Combined with theoretical analysis, the influence of panel configuration was studied and discussed. Results indicate that the temperature of the gas heated surface rise with the thickness of gas side wall, the width and height of the cooling channels, while heat flux of the gas heated surface decreases with the increase of these parameters. It was found that the percentage of the heat absorbed by kerosene from the bottom walls, side walls and top walls of the cooling channels hardly changes with the thickness of gas side wall, while it changes with the variation of width and height of the cooling channels.