Trump's campaign released the records, timed with the airing of his appearance discussing them on the "Dr. Oz Show."
"We are pleased to disclose all of the test results which show that Mr. Trump is in excellent health, and has the stamina to endure — uninterrupted — the rigors of a punishing and unprecedented presidential campaign and, more importantly, the singularly demanding job of President of the United States," the statement said.
Hillary Clinton released similar information Wednesday.
The fact that Trump's physician's letter references "stamina" is significant because it's a word the Republican presidential nominee has regularly used in attacking Clinton. After taking several days off from directly attacking Clinton's health following her diagnosis of pneumonia over the weekend, Trump appeared to raise questions about her health at a rally Wednesday night in Ohio.
"I don't know folks -- you think Hillary Clinton would be able to stand up here for an hour and do this? I don't know," Trump said.
Trump also said during the rally that Clinton is "in all fairness ... lying in bed and getting better."
"And we want her better. We want her back on the trail, right?"
Trump has frequently used discussions of virility as an attack against his opponents. Throughout the primary, he labeled opponent Jeb Bush as "low energy," and attacked rival Ben Carson as even "lower energy."
Donald Trump's son made a similar argument in an interview with TV station WTAE.
"He's got more energy than any human being alive. Our opponent does one event a day and then has to take two or three days off, it's a very different scenario," Donald Trump Jr. said.