Experimental data on the magnetic susceptibility of nonstoichiometric hafnium carbide HfCy(0.6,y,1.0) are presented. Anomalies are found in the temperature dependences of the magnetic susceptibility of the carbides HfC0.71 , HfC0.78 , and HfC0.83 in the temperature range 870–930 K. These anomalies are due to the formation of a superstructural short-range order in their nonmetallic sublattice. It is shown that the short-range order in the carbides HfC0.71 and HfC0.78 corresponds to the ordered phase Hf3C2 , while in the carbide HfC0.83 it corresponds to the ordered phase Hf6C5 . It is found that the magnetic susceptibility of the carbide HfC0.78 in the temperature interval 910–980 K is zero.