Poly(glycerol‐sebacate) (PGS) is a biodegradable elastomer known for its mechanical properties and biocompatibility for soft tissue engineering. However, harsh thermal crosslinking conditions are needed to make PGS devices. To facilitate the thermal crosslinking, citric acid is explored as a crosslinker to form poly(glycerol sebacate citrate) (PGSC) elastomers. The effects of varying citrate contents and curing times are investigated on the mechanical properties, elasticity, degradation, and hydrophilicity. To examine the potential presence of unreacted citric acid, material acidity is monitored in relation to the citrate content and curing times. It is discovered that a low citrate content and a short curing time produce PGSC with tunable mechanical characteristics similar to PGS with enhanced elasticity. The materials demonstrate good cytocompatibility with human umbilical vein endothelial cells similar to the PGS control. The research study suggests that PGSC is a potential candidate for large‐scale biomedical applications because of the quick thermal crosslink and tunable elastomeric properties.