The monochlorotriazinyl-β-cyclodextrin (MCT-β-CD) grafting onto polyester fabrics and films was carried out in an alkaline medium (saponification conditions with Na2CO3 respectively NaOH) at different temperatures (20 and 130°C) and treatment durations (30min, 1h, 3h, 5h, 24h) through a discontinuous procedure. The saponification and grafting were accomplished in two variants: individually and simultaneously respectively. It was noticed that the alkaline medium produces chemical and superficial modifications which make possible the MCT-β-CD grafting onto the polyester supports. This was rendered evident through FTIR analysis and SEM electron microscopy. The degree of grafting depends on the saponification/grafting conditions (the concentration of alkaline agents, time, temperature, MCT-β-CD concentration) and is reflected by the nitrogen content, hygroscopicity, air permeability, as well as by mechanical properties (tensile breaking strength, breaking elongation, breaking mechanical work and the specific mass work).