The morphological parameter of a thin film surface can be characterized by power spectral density (PSD) function which provides a better description on topography rather than the root mean square (RMS) and super structure contributions. Through the present study, nanoparticle copper-carbon composite films were prepared by co-deposition of RF-sputtering and RF-PECVD method using acetylene gas and copper target. These films’ surface roughnesses were determined by using an atomic force microscope (AFM). The carbon content of the films was obtained by Rutherford back scattering (RBS) which was varied from 5% to 73%. The power values of PSD for the AFM data were determined by the fast Fourier transform (FFT) algorithms. The effect of carbon on the surface roughness of thin films was investigated. Changes in the relationship between the resistivity and fractal dimension were observed for investigating films.