2,5-furan dicarboxylate polyesters (FDCA polyesters) are bio-based polymers prepared by 2,5-furandicarboxylic acid as mainly intermediate which derived from renewable resources. In this review, the research progress of FDCA polyesters was introduced. The performances, synthetic methods, catalysts and copolymerization modification of FDCA polyesters were discussed. The glass transition temperatures (Tg), thermal stabilities, Young’s modulus and tensile strength of FDCA polyesters are similar to those of terephthalic acid (PTA) polyesters. FDCA polyesters also possess better CO2, O2 and H2O gas barrier prop-erties than PTA polyesters. FDCA polyesters have recently gained high interests due to their excellent properties, and may be potential substitute of PTA polyesters in many fields. However, FDCA polyesters lack of toughness, which significantly hinders its industry applications. Copolymerization was widely used to improve the mechanical properties of FDCA polyesters. In most cases, the copolymer’s elongations had been enhanced, however, the Young’s modulus and Tg declined rapidly simultaneously. It is still a chal-lenge and one of the most important subjects in FDCA copolymers to improve the elongations at break and achieve a higher Young’s modulus and a higher Tg at the same time.