In this work it is presented a study about polyesterurethane used as an elastic damper, with a large area of application in the machine construction industry, the automotive industry, the bearings’ industry and so on. The polymers which make the objective of this study are the thermoplastic polyurethane based on polyesters with end hydroxyl group, diisocyanates, diols and glycerin. The goal of this article is to obtain the polyesterurethanes with a good resistance at repeated flexion, a huge resilience, a good resistance at crash, a good abrasion resistance and an hardness between 60 – 85 oSh A.