Ginsburg experienced bouts with lung cancer in 2018 and pancreatic cancer in 2019
The 87-year-old is having chemotherapy, having previously been treated for pancreatic, lung and colon cancer.
US Supreme Court Justice Ruth Bader Ginsburg, 87, is receiving chemotherapy for a recurrence of cancer, but says she has no intention of retiring.
Ms Ginsburg, is the court's oldest member, said a scan in February, followed by a biopsy, revealed lesions on her liver.
She is also the second-longest serving among the current justices, behind Clarence Thomas, having been appointed to a lifetime post on the court by President Bill Clinton in 1993.
According to oncologists, Ms Ginsburg's condition indicated she was experiencing a spread of pancreatic cancer.
Ms Ginsburg said she began her treatment in May and is currently seeing "positive results", adding that she will continue it twice a week.
She said: "I am tolerating chemotherapy well and am encouraged by the success of my current treatment."
"I have often said I would remain a member of the court as long as I can do the job full steam. I remain fully able to do that," she continued.
She experienced bouts with lung cancer in 2018 and pancreatic cancer in 2019, for which she also received treatment in 2009 - and suffered with colon cancer 10 years before that.
In May, Ms Ginsburg also underwent non-surgical treatment for a gallstone that had caused an infection.
Ms Ginsburg won gender equality cases at the Supreme Court in the 1970s, and as a justice, she has provided key votes in landmark rulings, securing equal rights for women, expanding gay rights and safeguarding abortion rights.