The temperature dependence of the specific heat of the single crystal Pb(In 0:5 Nb 0:5 )O 3 -Pb(Mg 1=3 Nb 2=3 )O 3 -PbTiO 3 (PIN-PMN-PT) was obtained at 80-500 K by means of ac-calorimetry, and comparison with the calorimetric data for PMN was made, allowing one to determine absolute values of the specific heat of PIN-PMN-PT. For the high-temperature region (T > 200 K), the background heat capacity was calculated, the anomalies of the heat capacity for both compounds were determined, and the hump of the temperature dependence of specific heat PIN-PMN-PT was detected for the first time.