Ginsburg, who is 87 years old and the oldest member of the court, said that a CT scan in February, followed by a biopsy, revealed lesions on her liver.
The information she disclosed about her condition indicated that she was suffering from a spread of pancreatic cancer, according to oncologists.
The Liberal’s health is closely watched, as a vacancy on the Supreme Court could give Republican President Donald Trump the chance to appoint his third judge and move the panel further to the right.
Ginsburg said she started her treatment in May and is currently seeing “positive results”, adding that she would continue it twice a week.
She said: “I tolerate chemotherapy well and I am encouraged by the success of my current treatment. ”
“I have often said that I will remain a member of the tribunal as long as I can do the job at full capacity. I remain fully capable of doing so, ”she continued.
She had episodes of lung cancer in 2018 and pancreatic cancer in 2019, for which she also received treatment in 2009 – and suffered from colon cancer 10 years ago.
In May, Ms. Ginsburg also underwent non-surgical treatment for a gallstone that had caused an infection.
The Supreme Court currently has a 5-4 conservative majority, including two judges appointed by Mr. Trump – Brett Kavanaugh in 2018 and Neil Gorsuch in 2017.
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Ms. Ginsburg is the second oldest of the current judges, behind Clarence Thomas, after being appointed to a life post in court by President Bill Clinton in 1993.
Described as a pioneering lawyer, she was the second woman ever appointed to the court, following the appointment of Judge Sandra Day O’Connor 12 years earlier.
Ms Ginsburg won gender equality cases in the Supreme Court in the 1970s, and as a judge she provided key votes in landmark decisions, securing equal rights for women, expanding rights homosexuals and protecting the right to abortion.