The vapor pressures of the fullerenes C60 and C70 have been measured over the temperature range 400-600-degrees-C by the Knudsen-effusion thermogravimetric technique. For C60, a heat of sublimation of 38 +/- 1 kcal/mol is obtained, and the value for C70 is 45 +/- 1 kcal/mol. The vapor pressure of C60 ranges from 1.8 X 10(-5) and 1.4 X 10(-2) Torr and that of C70 is between 1.4 X 10(-5) and 8.7 X 10(-3) Torr over the temperature range investigated. At 500-degrees-C, the vapor pressure of C60 is about 10(35) that of graphite. The entropy of vaporization of C60 obeys Trouton's rule.