The proposal could be presented to Parliament when the next session begins on October 15.
Countries are reminded that the death penalty is a violation of human rights.
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Malaysia now has the death penalty for crimes such as murder and drug trafficking.
Its promises included eradicating corruption and bolstering human rights.
"When commuted, they would have to face life imprisonment because there had been several deaths that were caused by the offender and so they were sentenced to death by the court", he said.
The Minister in the Prime Minister's Department, who is the de facto law minister, said the only issue was what to do with the convicts now on death row.
"This is part of our election pledge and also in line with the move away from capital punishment in the rest of the world", he told The Associated Press.
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Amnesty International aims to pressure five countries where the death penalty is "rife" - Belarus, Ghana, Iran, Japan and Malaysia - in a bid to put an end to inhumane conditions of detention for prisoners sentenced to death.
The moratorium on the death penalty would save, among others, two women accused of assassinating the estranged half-brother of North Korean leader Kim Jong-un previous year.
Lawyers for Liberty also welcomed the government's decision.
Surendran claimed there were now "hundreds of Malaysians" on death row in foreign countries, particularly for being drug mules.
The UN chief argued that legal representation or transparent criminal proceedings might have spared them from the death penalty.
While Indonesia carried out the highest number of executions over the past five years, Mr Hamid said the country had been making improvements.
There were 993 executions recorded in 2017 in 23 countries, but Amnesty's numbers do not include the "thousands" it says are believed to have been executed in China, which classifies this information as a state secret.
"Our view is that executions should not be carried out".