Chromium dyeing kinetic on wool fabrics using the PEK model has been studied. The adsorption of the dye on to wool fabric was analysed by fitting the experimental data by means of the PEK model The dyeing experiments are carried out using liquor-to materials ratio of 25:1 in a sealed stainless steel dyebath housed. PEK model is proposed that describes the dye exhaustion at different time. Recently, the mathematical equation of the PEK model is used to interpret the experimental data in terms of kinetic parameters of the dye molecules. With the PEK model, the adsorption kinetics is composed of two exponential terms which represent fast and slow processes, with their own characteristic times and solution of dye contents. The results show that the theoretical estimates are in reasonable agreement with experimental data with higher average regression coefficients.