In the present investigation, physicochemical parameters studies of dyeing of woolen yarn with CI Acid Red 1 dye in terms of kinetics and thermodynamic of adsorption were studied. Different models (Zero order, first order, second order, Parabolic, cegarra Puente and modified cegarra puente models) were employed to identify an acceptable dyeing mechanism. It was found that the modiﬁed cegarra puente model best fitted to the experimental data with the highest correlation (R2≥0.99). The dyeing rate constant, the half dyeing times, rise time and fixation time were then calculated. Thermodynamic parameters, such as Gibbs free energy (∆G#), enthalpy (∆H#), entropy (∆S#), and the activation energy (Ea) were considered. The thermodynamic parameters imply that the dying process could be boosted by increasing system temperature. Also, dying of woolen yarns with CI Acid Red 1 decreases randomness and enhances the order of reaction systems by immobilizing dye molecules onto the solid fiber surface.