The man was "yelling and spewing" some information about Trump and draped a USA flag over a counter, Miami-Dade Police Director Juan Perez said.
Police shot and injured the man, who has not yet been identified, after a confrontation escalated between officers at the resort, CBS Miami reported citing a senior law official.
"We are not saying this is terrorism, but we are not discounting anything at this point", Perez said, adding it was unclear what had motivated the man.
Miami-Dade Police Director Juan Perez said the man was shouting about Trump, and draped an American flag over the counter.
Trump was not at the club at the time.
"This was a definite attempt to lure officers into the lobby of that hotel", Perez said. "They risked their lives knowing that that they had to get in there to save lives in that hotel".
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There is no further threat, police said.
This is a breaking news story. The entrances were blocked, and yellow caution tape was stretched across the main gate.
Miami-Dade Police are also on the scene, authorities told The Washington Post.
The highest-grossing Trump property was the Trump National Doral Golf Club at 4400 Northwest 87th Avenue with $74.7 million in 2017, according to Business Insider. Its signature course is the Blue Monster at Doral.
The FBI and Secret Service are now involved in an investigation after a gunman opened fire in the Trump National Doral Miami.
The Trump International Hotel is less than a mile from the White House.