The family attorney for Ali said the family appreciates the sentiment of the pardon but that it is "unnecessary".
Mr Trump's comments follow his pardon of conservative political commentator and author Dinesh D'Souza. "The U.S. Supreme Court overturned the conviction of Muhammad Ali in a unanimous decision in 1971". I thought Alice yesterday was lovely. "And some others and some folks whose have sentences that aren't fair". He then floated Ali's name, despite the fact that the late boxer's conviction for draft evasion was overturned almost 50 years ago.
Trump said he was not considering pardoning O.J. Simpson. The White House announced it had pardoned Johnson later Wednesday.
Trump later told reporters that he wants to try to amend his feud with athletes who kneel during the National Anthem by meeting them half-way.
Trump recently granted a posthumous pardon to the first African American heavyweight champion, Jack Johnson, who was convicted in 1913 of violating a law that made it illegal to transport women across state lines for "immoral" purposes.
He said, "Why should they ask me to put on a uniform and go ten thousand miles from home and drop bombs and bullets on brown people in Vietnam while so-called Negro people in Louisville are treated like dogs and denied simple human rights?"