H.R.6274: To provide an equivalent to habeas corpus protection for persons held under military authority under that part of Cuba leased to the United States.

Boumediene Jurisdiction Correction Act - Allows any person being held under military authority in the part of Cuba leased to the United States to challenge the circumstances and legality of that person's detention to the same extent and with the same rights as are provided under the writ of habeas corpus.

Grants the courts established under the Uniform Code of Military Justice and operating in that part of Cuba exclusive original jurisdiction to hear and determine any such challenge.