"I'm not going 10,000 miles from home to help murder and burn another poor nation simply to continue the domination of white slave masters of the darker people the world over", Ali said, according to one historical account. "And some others and some folks whose have sentences that aren't fair". "The power to pardon is a lovely thing".
The family's rep Ron Tweel said: 'We appreciate President Trump's sentiment, but a pardon is unnecessary. We spoke with Khalilah Ali - who was married to Muhammad from '67 to '76 - and she was shocked when she watched Trump tell the media he was considering pardoning Ali. presumably for his conviction for resisting the draft in 1971. Furthermore, in 1977, President Jimmy Carter pardoned all persons who dodged the Vietnam War draft.
Trump in recent weeks has reveled in his power to pardon.
American heavyweight boxer Cassius Clay (later Muhammad Ali), training in his gym, 21st May 1965.
Among them is Ali, who died in 2016.
Last month, Trump righted a historical wrong and pardoned the late boxing legend Jack Johnson for a crime he committed in 1913.
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Pardon-happy President Donald Trump is hungry for more, but his idea to posthumously pardon Muhammad Ali is awkward and confusing. But even before that, in 1971, the Supreme Court reversed Ali's conviction for refusing to serve in the Vietnam War.
Trump told reporters Friday that his administration is "looking at literally thousands of names of people that have come to our attention that have been treated unfairly or where their sentence is far too long". Ali refused because of his religious beliefs, and his heavyweight championship titles and boxing licenses were stripped from him.
The president was recently praised for commuting the sentence of Alice Marie Johnson, a 63-year-old great-grandmother who was serving life in prison on drug-trafficking charges. And he even reached out to National Football League players who have protested injustices in the criminal justice system, saying they, too, can recommend cases of people who should be pardoned or released from prison.
"He wasn't very popular then, certainly his memory is popular now", Trump said.
Johnson, who served nearly 22 years in federal prison for a first-time criminal offense, was pardoned this week.
Mr Trump pardoned her after Kim Kardashian took up her case and visited Mr Trump in the White House.