Measurements have been made of the rate of diffusion of a series of dyes through Cellophane membranes over a wide range of concentrations, particular attention being paid to the effect of the affinity of the dye for the cellulose. It has been shown that, (i) the integral diffusion coefficient for dyes with a low affinity for cellulose is independent of concentration except in the most dilute solutions, decreasing then with increasing dilution, (ii) the permeability of the membrane towards a dye of low affinity is reduced when the carboxyl content of the cellulose is increased, (iii) with increasing affinity of the dye, the diffusion coefficient decreases correspondingly, (iv) dyes of higher affinity show a linear increase of diffusion coefficient with concentration, and (v) an acid dye with a pronouncedy amphipathic constitution is strongly absorbed by the cellulose and differs from the other dyes in that the diffusion coefficient falls as the concentration rises.