JI leader Motiur Rahman Nizami, 70, was sentenced to hang after being convicted over the racket involving 10 truckloads of arms seized by police at a Bangladesh port.
"The judge sentenced 14 people including .... Motiur Rahman Nizami, to death on smuggling charges," prosecutor Kamal Uddin Ahmed told AFP from the southern port city of Chittagong.
"We're satisfied with the verdict. This is an unprecedented case and all those accused have got due justice," Ahmed said.
Prosecutors said Nizami, who was industries minister at the time, helped unload the weapons that included 4,930 sophisticated firearms, 27,020 grenades and 840 rocket launchers in April 2004.
Nizami, in custody since 2010, was among 50 people charged with smuggling and other offences over the weapons that were meant to be moved across the border to a rebel group in northeastern India.
Ex-home minister Lutfozzaman Babar and the former chiefs of the country's two main intelligence agencies were also among the 14 who were sentenced to death on Thursday over the racket.
A leader of the United Liberation Front of Asom (ULFA), Paresh Baruah, was also sentenced to death in absentia over the racket, which was meant to help the group's separatist struggle. Baruah has long been on the run.

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