Abstract A series of novel biodegradable copolyesters named poly(butylene 3-methyl adipate co-terephthalate) (PBAmT) were synthesized from the monomers of 3-methyl adipic acid (AAm), 1,4-butanediol (BDO), and terephthalic acid (TPA) through a process of esterification and polycondensation. 1H NMR analysis shows that they are random copolymers whose composition can be well controlled by the feed ratio of monomers. From the results of DSC and XRD, the introduction of methyl group successfully destroys the crystallizability of the PBAm chains, thus making it become a relative soft segment compared to PBA, while these random PBAmT copolymers constructed by soft segment PBAm and rigid segment PBT change from semi-crystalline polymers to nearly amorphous polymers as the feed ratio of Am increases. Especially, mechanical tests reveal that the copolymers show outstanding elasticity and rebound resilience with excellent strength. These thermoplastic copolyester elastomers with good performance by simply introduction of branched methyl group on polybutylene adipate terephthalate (PBAT) copolymer chains may well explore the potential application of biodegradable PBAT-based material.