The duo, Andrew Chan and Myuran Sukumaran were the leaders of the "Bali Nine" group of heroin smugglers arrested in 2005.
2 Australians who are currently on death row in Indonesia for drug-related offences will still be executed as the Indonesian government has rejected their appeal.
BBC reports that the Indonesian court has ruled that the 2 drug smugglers sentenced to death cannot challenge the president's decision to refuse them clemency.
The duo, Andrew Chan and Myuran Sukumaran were the leaders of the "Bali Nine" group of heroin smugglers arrested in 2005 and are scheduled to be executed by firing squad in Indonesia soon.
The Australian government has campaigned hard for their sentences to be commuted while their supporters say they have reformed.
Chan and Sukumaran were appealing against an earlier ruling which had barred them from challenging Indonesian President Joko Widodo's rejection of their clemency pleas.
The duo have taken several legal actions in the past to revoke their death sentence but have met brick walls in all their attempts. But now it appears they have exhausted all possible options, although their lawyer has told reporters that they they would continue their legal effort.
Chan and Sukumaran are in a second group, of 10 foreign nationals, to be put to death.
They were arrested in Bali in 2005 while attempting to smuggle heroin to Australia. A court ruled that they had organised a nine-member smuggling operation and they were sentenced to death in 2006.
Their family and friends however say they are now reformed men as Chan teaches Bible and cookery classes in prison while Sukumaran is an artist.