It is shown that the heat conductivity of carbon fiber (CF)-reinforced aromatic polyamide on the basis of phenylone can be described within the framework of a fractal model. Depending on the dimension of filler fibers network (system), such description can be obtained by the application of two limiting cases: random network of resistors (RNR) or random Superconducting network (RSN). (c) 2006 Wiley Periodicals, Inc. J Appl Polyni Sci 100: 3828-3831, 2006.