Electrical conductivity of carbon-nickel composite films annealed at temperatures 300, 500 and 800∘C is studied over a temperature range of 50–300 K. While the conductivity data above room temperature show extended state conduction, lowering the temperature from 150 to 50K leads to the Berthelot-type conduction mechanism. It can be seen that the films annealed at 500∘C have the maximum conductivity. The extent of the carrier wave function at 500∘C has the minima 2.87×10−7 cm and 2.45×10−7 cm in octahedral-metal stretching vibrations and intrinsic stretching vibrations of the metal at the tetrahedral site, respectively. The average distances between two vibration octahedral and tetrahedral sites at 500∘C also have the minima 1.13×10−7 cm and 0.97×10−7 cm, respectively. The Berthelot temperature for films annealed at 800∘C has the minimum of 94.3 K.