The recent appearance of this fibre has offered the advantages of a manufacturing process that pollutes less than conventional viscose and improves properties of wet tenacity and strength. The behaviour of lyocell fibre in absorption of direct dyes takes on particular importance in the corresponding dyeing stage during the chemical and industrial processing of this fibre. The objective of this study is to characterise the parameters influencing the process of absorption of direct dyes by lyocell fibres by analysing the equilibrium absorption isotherms of C.I. Direct Blue 1 dye. The experimental results were used to define equilibrium equations for interpreting the behaviour of the system through comparative analysis of the equations formulated by Nemst, Freundlich and Langmuir, and the characteristic free internal volume, V(l/kg), for lyocell fibre was calculated. In addition, the characteristic thermodynamic magnitudes of the system were calculated, i.e. the standard enthalpy, entropy and affinity of the dye, to allow satisfactory repetition and prediction of experimental results. Different operating alternatives can thus be compared quantitatively, obtaining the minimum data required for comparative evaluation of the process. [ABSTRACT FROM AUTHOR]