Poly(lactic acid) (PLA) is known as one of the most promising biodegradable polyesters, while inherent brittleness and insufficient gas barrier performance limit its potential application as a film material. Herein, poly[(butylene diglycolate)‐co‐furandicarboxylate] (PBDF) with excellent flexibility and good gas barrier properties was synthesized and then melt‐blended with PLA. Compared with neat PLA, the elongation at break of the PLA/PBDF20 blend increased more than 40 times and reached over 176.7%. In addition, its O2, CO2 and H2O permeability coefficients decreased by 21.3%, 50.8% and 46.3%, respectively. Moreover, the PLA/PBDF20 blend also exhibited better biodegradability, with a weight loss rate increasing from 2.7% of neat PLA to 19.0% after 5 weeks of composting. Notably, incorporation of a multifunctional epoxy compatibilizer (Joncryl ADR®‐4368) into the PLA/PBDF blends further enhanced their toughness and gas barrier performance, which could be attributed to the improvement of the miscibility between PLA and PBDF. © 2024 Society of Chemical Industry.