Experiment results of electrical resistance of carbon fiber reinforced cement composite are presented.The electrical resistivity of specimens decreases with increasing volume fraction of carbon fiber.Moreover,it is found that there is a saturation point for carbon fiber volume fraction.Beyond that,the change of electrical resistivity with the variation of carbon fiber volume fraction becomes leveling off.It is well known that the electrical resistivity of carbon fiber reinforced cement composite is a function of frequency of applied voltage,the higher the frequency,the lower the electrical resistivity of the material.A simple structural model based on the principle of electrical percolation is developed to interpret the electrical resistance of carbon fiber reinforced cement composite.The SEM observation associated with the electrical properties of composite has been obtained and that is to support the model.