The risk of exhaustion of fossil natural resources from which count of polymers are made, allowed the development of new polymer materials, renewable 100 % were called biopolymer. The poly acid lactic is doubtless the most promising of them. Of natural origin, this polyester is synthetized from food rich in starch such as the corn, the beet or the potato. His biodegradable character offers him a wide range of applications in many field as medicine, building, car industry, biomedical or textile clothing. This work consists in studying the structure and the texture of the mixed isomer (PDLA) and to determine the incidence of its morphology on the mechanical properties required for textiles applications.We have by spectral methods, characterized the polymer ,in arder to determine, the molecular weight,composition, and monomers distribution, very important parameter, having a strong influence on the mechanical properties of the polymer, in particular the thermal stability or the resistance in the hydrolysis. Our experiments led on the thermal stability of the polymer reveal that the polymer may hydrolyser under the combined effect of temperature, moisture and by the pH, then, a decrease of the molecular weight, thus, a Joss ofmechanical properties of the fiber.The PLA is also a polymer which can be dye only with certain disperses dyes under particulars conditions.The study of the kinetics of fixation of three disperses dyes scattered on PLA fiber permit to establish a relation between the structure of the disperses dyes and its dyeing properties.