A new model of a fine-porous membrane with a linear distribution of charges of its fixed groups along its depth is suggested in the work to explain the effect of asymmetry of diffusion permeability of perflu orinated MF 4SK membranes surface-modified by polyaniline. The model allowed better describing the experimental data for the synthesized nanocomposite MF 4SK/PANI membranes than the earlier developed model of a bilayer membrane with constant fixed charge densities in layers, which points to its feasilibity.Keywords: asymmetry of diffusion permeability, bilayer membrane model, linear model for fixed charge den sity, perfluorinated sulfocationite membrane modified by polyaniline