Energy Star Program Integrity Act This bill amends the Energy Policy and Conservation Act to revise the Energy Star program. Specifically, the bill prohibits breach of warranty claims or private claims or rights of action against manufacturers of products that are disqualified from the program if: (1) the product has been certified by a certification body recognized by the program, (2) the Environmental Protection Agency has approved corrective measures, and (3) the responsible party has fully complied with all such measures.