Viktor Bout was arrested in March in Bangkok during a joint police operation led by agents from the U.S. Drug Enforcement Administration (DEA).
DEA prosecutors claim that Bout conspired with others to sell millions of dollars worth of weapons to the Revolutionary Armed Forces of Colombia, a leftist group listed by the U.S. as a terrorist organization.
Earlier a Thai court postponed the first hearing of Bout's extradition case as his Thai lawyer had developed "a heart problem."
Thailand received in early May a formal request from Washington to extradite Bout to the U.S., where he has been indicted on four charges: conspiracy to kill Americans and U.S. officers or employees, conspiring to provide material support to terrorists and conspiring to acquire and use an anti-aircraft missile.
Western law enforcement agencies consider Bout to be "the most prominent foreign businessman" involved in trafficking arms to UN-embargoed destinations.
UN reports say Bout set up a network of more than 50 cargo aircraft around the world to facilitate his arms shipments, earning the nickname 'merchant of death.'