The court's oldest justice fell Wednesday evening, the court said. She initially went home after her fall, but experienced complications overnight.
Tests showed that she had fractured three ribs on her left side and she has been admitted for observation and treatment.
The president was at the Supreme Court on Thursday morning for a ceremony for Justice Brett Kavanaugh, who was sworn in last month.
Ginsburg has survived several fights with cancer and had heart surgery in 2014, according to CNBC.
U.S. Supreme Court Justice Ruth Bader Ginsburg arrives at a lecture on September 26 at Georgetown University Law Center in Washington, D.C. Ginsburg has been hospitalized after falling and fracturing several ribs. Instead she will remain in the hospital.
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In the 2018 midterm elections, Republicans won seats in the U.S. Senate, making future Supreme Court confirmation battles easier.
Rib fractures are common among older adults, particularly after falls. The extent of Ginsburg's injury was not clear. Broken ribs typically take six weeks to heal, but it varies from case to case. A chief complication is pneumonia, when patients don't breathe deeply enough or cough enough because of the rib pain.
Ms Ginsburg has sat on the Supreme Court since 1993 after being appointed by President Bill Clinton and is seen as the most senior justice on the court's liberal wing.
For what it's worth, Ginsburgh apparently has no plans of stepping down, and has even hired clerks for the term that extends into 2020.
Ginsburg has served on the court for 25 years.