Indonesia has executed three Muslim militants sentenced to death for the 2002 Bali nightclub bombings that killed 202 people, a local television network said.

Imam Samudra, Mukhlas Ghufron and Amrozi Nurhasyim were executed on Nusakambangan island in central Java.

The executions could not immediately be confirmed by officials.

Zakiah Darajad, Saumdra's wife, had an open letter read by a relative at a news conference in Serang.

"(I) hope Allah gives the best to them and gives the worst to everyone that inflicted this unfair treatment," it said.

In a statement issued by their lawyers before the executions, the men said their blood would "become the light for the faithful ones and burning hellfire for the infidels and hypocrites".

In an interview late last year, the militants said their only regret was that some Muslims were killed in the blasts.

The two explosions on Bali's Kuta strip on October, 12, 2002 - one at Paddy's Bar and the other at the Sari Club - killed 202 people including 88 Australians and 38 Indonesian citizens, and dealt a severe blow to the island's tourist industry.

Relatives of victims have said they do not believe justice has been fully achieved.

Susanna Miller, whose brother Dan was killed in the attacks, is a member of the Bali Bombings Victims' Group.

She said: "Justice is supposed to have two strands to it. One is to pay recompense for the crime committed and the other is a deterrent.

"If you undermine the deterrent by effectively encouraging, allowing these people to be seen as martyrs and encouraging the Islamist cause then no it makes a mockery of justice."

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