Ted Cruz won a Republican-only race in Idaho, and Hawaii results come later.
The four states are the latest to choose their candidates from each party who will compete in November`s presidential election.
It was a terrible night for Republican Florida Senator Marco Rubio, who came in a distant fourth in both Michigan and Mississippi, a week before his must-win contest in his home state.
Mr Trump, a businessman with no experience of elected office, leads the polls in Florida, from where he delivered his victory speech on Tuesday night.
"One of the things I am most happy about is the turnout has been just massive… I think it`s the single biggest story in politics today," he said at a press conference in Jupiter.
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