A study was made of the phase equilibria in the HfO//2-CaO system in the 1600-2800 degree C temperature range, and a phase diagram of this system is plotted. Characteristic of this diagram is the formation of solid solutions based on the monoclinic, tetragonal and cubic modifications of HfO//2; the reduction of the phase transition temperatures of HfO//2 upon the introduction of CaO; and the presence of a compound CaHfO//3 which melts congruently (2440 plus or minus 25 degree C) and undergoes a polymorphic transformation at (2000 plus or minus 10 degree C).