The excellent properties of graphene to composite with other materials can endow materials with excellent properties, making them have both advantages. Graphene/ZIF-67 composites are studied. The variation laws of Debye temperature, heat capacity and characteristic life with temperature are determined by using solid physics theory and method, and the influence of atomic anharmonic vibration on it is discussed. The results show that: 1) the Debye temperature and constant volume specific heat increase with the increase of temperature. Among them, the Debye temperature has little change with temperature. For every 1 K increase, the Debye temperature only increases by nearly 0.003%. The specific heat of constant volume increases nonlinearly with the increase of temperature, which changes greatly at low temperature and tends to be close to constant at high temperature. 2) The characteristic life is about 232 days, which decreases with the increase of temperature, but changes little. The service ambient temperature has little effect on the life. 3) If the anharmonic effect between atoms is not considered, the Debye temperature and characteristic life are constant. After considering the anharmonic vibration term of atoms, they all change with the temperature. The higher the temperature, the more significant the influence of anharmonic effect is, but the influence of anharmonic effect on its constant volume specific heat is not obvious.The results will promote the research and application of Graphene/ZIF-67 composites.