The first lady is at Walter Reed National Military Medical Center in Bethesda, Md., outside Washington, D.C.
Mrs. Trump was treated at Walter Reed National Military Medical Center and will likely be in the hospital for the rest of the week, according to the first lady's communications director. Before departing the White House, Trump tweeted that his wife was in "good spirits".
The president spoke with the first lady before the procedure, and he also spoke to the doctor after the procedure had been finished, a White House official said. Successful procedure, she is in good spirits.
Trump later traveled by his Marine One helicopter to Walter Reed to visit his wife.
The statement described the kidney condition as "benign" but provided no further details.
Democrat Senator Chuck Schumer, who has not always seen eye-to-eye with the president also offered his "sincere wishes for her speedy recovery". One reason the hospital may be keeping the first lady for a few days is "the full lesion may not have been completely embolized and sometimes you need it done again". 48-year-old Melania passed the procedure of embolization.
Donald Trump remained in the White House during her surgery.
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Melania Trump is the first to go through such a serious medical procedure since Nancy Regan who underwent a mastectomy. The program is aimed at tackling American kids' well-being and social-media use, as well as opioid abuse in families.
Trump said earlier Tuesday that the first lady is "doing really well" and that he expected her back at the White House before the end of the week.
The Trumps' marriage has come under scrutiny in recent months after revelations that a porn actress was paid $130,000 to keep quiet about claims she had sex with Trump in 2006.
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Mr Trump has acknowledged reimbursing his lawyer for the payment to porn star Stormy Daniels but denies her allegations.
"We can and should be best at educating our children about the importance of a healthy and balanced life", the first lady said during a speech in the Rose Garden last week.
The news is confirmed by the press Secretary of the first lady of the United States. She and Barron moved to the White House last June.