The Mineola Twins has been nominated for several awards. Swoosie Kurtz received a nomination for Performance at the Obie Awards. The play itself was nominated for Outstanding Off-Broadway Play at the Outer Critics Circle Awards. Jess Goldstein received a nomination for Costume Design, while Robert Brill and Scott Pask were both nominated for Scenic Design at The Hewes Awards. Additionally, Kevin Adams was nominated for Outstanding Lighting Design, and Robert Brill and Scott Pask were both nominated for Outstanding Scenic Design at The Lortels.