News broke Friday afternoon of Ginsburg's surgery at New York's Memorial Sloan Kettering Cancer Center.
It comes as Ginsburg, a former litigator for the American Civil Liberties Union (ACLU) is recovering from three rib fractures she suffered after falling down in her office on November 7.
The court said the 85-year-old Ginsburg, who is Jewish, had the surgery Friday in NY and will remain in the hospital for a few days.
There is no evidence of any remaining disease or evidence of disease elsewhere in the body, the Court said.
No further treatment is planned, the court said.
NPR's Nina Totenberg interviewed Ginsburg at the Museum of the City of NY on December 15, where she asked the 85-year-old justice about her health.
"Justice Ginsburg is very ill", O'Reilly tweeted.
Ginsburg has never missed Supreme Court arguments in more than 25 years on the bench.
A lobectomy can be recommended if a person is diagnosed with COPD, has lung cancer or benign tumors, according to the American Lung Association.
Ginsburg was said to be resting comfortably and was expected to remain in the hospital "for a few days".
President Trump has appointed two justices to the Supreme Court, filling seats vacated by the death of conservative Justice Antonin Scalia and retirement of moderate conservative Justice Anthony Kennedy. She has had two prior bouts with cancer and had a stent implanted to open a blocked artery in 2014.
She was the second woman ever to serve on the court, after Sandra Day O'Connor. A few days later, she issues an apology and says the remarks were inappropriate for a judge to make.
In recent years she has become something of a cult figure, particularly on the left, known by the nickname "Notorious RBG", after the late rapper Notorious BIG.
July 11, 2016 - Criticizes Donald Trump, calling the presumptive Republican presidential nominee a "faker." In 2009, she was sent to the hospital following a bad reaction to medicine. She later apologized for what she said were inappropriate remarks.
"I said I will do this job as long as I can do it full steam", Ginsburg said Sunday during an interview following a New York City screening of "On the Basis of Sex".