"What I've noticed over the past few months [is] he's kind of used sports to kind of divide us", James told CNN's Don Lemon on Monday.
In response, Mr Trump questioned James' intelligence, saying it was not easy to make the National Basketball Association player "look smart".
Retired NBA player Michal Jordan, who the American Chief Executive Donald Trump mentioned in the tweet ending with I like Mike! Jordan.
In a tweet, Trump took aim at two of his regular critics, James and cable TV news personality Don Lemon.
Cleveland Browns trade WR Corey Coleman to Buffalo Bills
Now Coleman will need to take that step with the Bills, where he will need to get acclimated to Buffalo's offense in short order. Coleman caught 56 passes for 718 yards and five touchdowns with the Browns, who are still in the market for a wide receiver.
Lemon responded on Saturday morning and he wasn't afraid to throw some serious shade. "Her platform centers around visiting organizations, hospitals and schools, and she would be open to visiting the I Promise School in Akron".
"I believe the president is kind of trying to divide us", James said. He was also referring to the Trump administration's decision to separate migrant children from their parents.
Melania Trump has often traveled solo as well, including on two trips to visit the southern border, where Trump administration policies resulted in the separation of parents from their children.
The first lady's spokeswoman released a statement praising James for starting a school for at-risk children in OH following her husband's attack on his intelligence.
She also noted that Mrs Trump's Be Best initiative promoted responsible online behaviour, in perhaps another not so subtle dig at her husband.
Trump's wife First Lady Melania Trump, however, doesn't seem to be on the same page about James.
Jordan offered his support.
In the interview, James reiterated his criticism of the president as racially insensitive.