In buildings and urban spaces, it is necessary for expressing the radiant field for a human body that the mean rediant temperature and the directionality of the thermal radiation are treated, from the viewpoint of designing the environmental space. The radiant flux vector, simply called as the vector radiant temperature, is suitable for indication of the radiant directionality. The radiant flux vector has six radiant flux components which are supposed to be set for every surface of a cube. According to the every component that means the plane radiant temperature, the mean radiant temperature for the cube is immediately estimated and generally used instead of the mean radiant temperature for a globe as usual. The local mean radiant temperature for any direction is approximately estimated with each component of the radiant flux vector. The mean radiant temperature for a human body should be expressed by multiplying the weighting factors suitable for each surface of the cube by the components. The surface weighting factors are decided based on Fanger's data about the angle factor between a human body and wall. The difference of the angle factor obtained on the cube from that on the hunman body resulted in 0.03 in maximum, being neglected for the application to expressing the radiant field on the human body.