In the present paper the problem of the radiative association of atoms of carbon C with electrons e ^ { - } at an interval of kinetic temperatures T _ { c } of 100 < T _ { c } < 3000 K is considered . The calculation of the rate of these associations has been made by using the principle of detailed balance . It is shown that the rate has correct behavior ( it increase with the temperature ) it is behavior is look-like that for the H ^ { - } formation rate coefficient , which also increase with the temperature .