Responsible Seafood Certification and Labeling Act - Prohibits a federal executive agency: (1) in awarding a contract for the procurement, concessions, or vending of fish or seafood, from requiring or referencing a certificate of sustainability for, or otherwise identifying as sustainable, such fish or seafood based on criteria developed by a third party nongovernmental organization; or (2) from endorsing the use of any label, standard, or other scheme to certify fish or seafood as sustainable based on criteria or standards developed by a third party nongovernmental organization. Nullifies any rule, regulation, or guideline issued by an executive agency, including the Department of Health and Human Services (HHS), that requires or recommends that fish or seafood be certified as sustainable by a third party nongovernmental organization.