The thermal conductivity of Ar crystals film is calculated by using non-equilibrium molecular dynamics simulation method. When the thickness of film is less than micro-nanometer, non-Fourier effects will appear in heat conduction where the Fourier formulation is not applicable for calculating thermal conductivity, so the Cattaneo equation based on relaxation time approximation is used to calculate the thermal conductivity. The results show that the thermal conductivity is the non-linear function of temperature when the dimension of film is less than micro-nanometer.