Transparent plasticized gels with good mechanical, optical, and dielectric properties have important applications in various fields. We prepared a new gel using a poly(butylene terephthalate)-co-poly(alkylene glycol terephthalate) (PBT-co-PAGT) copolymer and a plasticizer, dibutyl adipate (DBA). This method improved the polymer crystallinity, and suppressed particle formation in cast-films when the polymer was dissolved in 1,1,1,3,3,3-hexafluoro-2-propanol, followed by solvent evaporation, and enabled uniform swelling of the polymer network by the plasticizer to form a transparent and flexible gel.The dielectric constants of the developed PBT-co-PAGT/DBA gels are much higher than those of PBT-co-PAGT films at low frequency. We believe that these PBT-co-PAGT/DBA gels could be used as photovoltaic, dielectric, and actuator materials.