A thermally conductive material includes a supercritical fluid and a number of carbon nanotubes incorporated in the supercritical fluid. The supercritical fluid may be selected from a group consisting of carbon dioxide, water, ammonia, ethane, ethane, nitrous oxide, propane, butane, pentane, and so on. The carbon nanotubes may be selected from the group consisting of single-wall carbon nanotubes, double-wall carbon nanotubes, mult-wall carbon nanotubes, or other kinds of carbon nanotubes. The carbon nanotubes have an average length of less than 1 micron and an average diameter of less than 100 nanometers. The supercritical fluid has dual characteristices of a liquid and a gas, and the carbon nanotubes have excellent thermal conductivity. As a result, the thermally conductive material becomes a nano-super heat conductor with excellent thermal conductivity and high efficiency of thermal conductivity, and is suitable for heat dissipation of various heat sources.