The school is funded by a partnership between Akron City Schools and the LeBron James Family foundation.
Last year, Trump also withdrew an invitation to the National Basketball Association champions Warriors after Curry and several teammates indicated misgivings about attending a White House event.
During their interview, James and Lemon toured "I Promise", a school for at-risk children that James has established in his hometown of Akron, Ohio.
Newly minted L.A. Laker LeBron James has always made his commitment to the underserved youth of his home town publicly known.
James has been outspoken in his dislike for Trump in the past. Fellow NBA stars including Chris Paul, Stephen Curry, Dwyane Wade and other celebrities and prominent figures have all applauded James' achievement.
In behaviour that has become the normal for the 45th US President, Trump took to his personal Twitter account to post a late-night tweet bashing James.More news: Unai Emery Responds To Rumours Linking Steven N’Zonzi To Arsenal
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During the sit-down, James spoke of sports as something that unites people, and added that the president was "using sports to kinda divide us".
Neither Lemon or James have yet reacted to Trump's tweet. The school opened with a group of third- and fourth-graders, but will expand to serve first through eighth grades by 2022. "And when they walk through that door, I hope they know that someone cares". I know the trials and tribulations they go through.
"Well, in that case, I may (run)", James said. It helped him stay out of trouble, so he is making sure the I Promise students have the same access.
Of course, the school isn't just being praised for its cool perks; The school's curriculum will be created to provide the best education possible for students who are in danger of falling behind at a young age.
Carrie, who signed with the Browns as a free agent in March after four seasons with Oakland, said James' efforts lead him to want to do more.
But James isn't just looking to provide support for his students, he wants to support their parents as well.