Mr Trump was on the way to a rally in Little Rock, Arkansas, when the Boeing 757 made the unscheduled stop at Nashville International Airport.
A spokeswoman for Mr Trump said he finished the journey in a charter aircraft.
The Republican front runner was expected to speak at Barton Coliseum in Little Rock to an audience of more than 11,500 supporters, ABC News reports.
Mr Trump arrived an hour and a half late, explaining to the crowd it was "rough" getting there but there was "no way" he would have cancelled his trip.
He told his supporters: "I love Arkansas".
The Federal Aviation Authority (FAA) is currently investigating the incident.
Donald Trump`s plane makes emergency landing due to engine problems
04 February 2016
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Donald Trump`s campaign plane was forced to make an emergency landing in Nashville, Tennessee after reporting engine problems.
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