The White House says the 48-year-old first lady had the procedure Monday morning.
The first lady's office said in a statement that the procedure was "successful and there were no complications".
Rogers calls her benign kidney condition rare, but treated with a very routine procedure. she underwent what's called an embolization.
She underwent the surgery at the Walter Reed National Military Medical Centre in Bethesda on Monday, New York Post reported. It seems that the White House did a good job at keeping this piece of information private, as people like Paolo Zampolli, UN ambassador and friend of Melania, heard about the information along with the rest of the world through the media, according to People.
He says "she is in good spirits", and adds, "Thank you to all of the well-wishers!"
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President Donald Trump is expected to visit first lady Melania Trump in hospital later.
CNN interviewed its chief medical correspondent, Dr. Sanjay Gupta, to gain some insight into what was afflicting the First Lady.
She was last seen in public on Wednesday at a White House event where she joined the president to honor military mothers and spouses for Mother's Day.
"In this procedure, an interventional radiologist uses imaging guidance to insert a catheter into a primary artery and advance it to blood vessel leading to a tumor or other area where the bloody supply needs to be blocked", the Cancer Treatment Centers of America explained.
They're not common but tend to occur in middle-aged women, and if they become large enough, they can cause problematic bleeding, said Dr. Keith Kowalczyk of MedStar Georgetown University Hospital.
While there's no indication whether Mrs. Trump's procedure was an emergency or planned, LaPook said after this kind of procedure, it would not be at all unusual to keep her in the hospital for observation for a number of days.