One of the Bali Nine drug smuggling ringleaders, Andrew Chan, has lost an appeal against his death sentence.

Andrew Chan and Myuran Sukumaran were found guilty of organising a shipment of more than eight kilograms of heroin from Bali to Australia in 2005 and sentenced to death.

Indonesia's supreme court has now rejected his final appeal.

The decision was made on May 10 but was only posted on the supreme court website this afternoon.

His lawyer, Todung Mulya Lubis, says he is shocked at the result and could not comment further until he has spoken with his client.

The supreme court judges reviewing Chan's appeal say they found no obvious error in the original decision to impose the death penalty.

But Chan's Balinese lawyer, Nyoman Gede Sudiantara, says the legal team is shocked because Chan was not caught with any of the drugs the Bali Nine planned to smuggle to Australia.

Chan's last chance for a reprieve would be an appeal for clemency to Indonesian president Susilo Bambang Yudhoyono.

The decision is a bad sign for Sukumaran, who is also waiting on the results of his appeal.

Chan and Sukumaran both launched final appeals in August last year.

The appeals rested on evidence that the men have been successfully rehabilitated and are role models inside prison.

Chan and Sukumaran had both been running education courses for fellow inmates inside Bali's Kerobokan prison as part of their efforts to rehabilitate.

Chan, 26, told the Denpasar District Court last year he knew he could not change the "stupid things" he did in the past.

"But I have genuinely changed my behaviour and I really want to focus on what I can do now and in the future," he said.

Chan, who has also been studying for a bachelor's degree in theology while in prison, said he hoped to become a minister or a counsellor so he could help others avoid his mistakes.

"I accept that I deserve to be punished for my crime but I beg the court that I not be executed," he said.

"I hope I am given another chance in life."

At the hearing, both men apologised for previously pleading not guilty, blaming bad advice from their previous legal team.

They also apologised for their behaviour at earlier court appearances, conceding they did not show appropriate respect.

A spokeswoman for Foreign Affairs Minister Kevin Rudd says the Government will vigorously support clemency for Mr Chan.

She says the Minister's thoughts are with Mr Chan and his family at this deeply distressing time.

A supreme court decision in May spared fellow Bali Nine death-row inmate Scott Rush the death penalty, instead sentencing him to life in prison.

Five other members of the drug smuggling plot - Martin Stephens, Matthew Norman, Michael Czugaj, Si Yi Chen and Tan Duc Thanh Nguyen - are also serving life sentences.

The final member of the drug ring, courier Renae Lawrence, is serving a 20-year sentence.