The university says the female student developed symptoms Wednesday night and went to the McCosh Health Center on campus.
She was taken to a local hospital Thursday, where doctors confirmed the diagnosis.
It is the eighth case of meningitis reported on Princeton's campus since March.
In a statement released Friday, the university said it is still unclear if the woman contracted the same strain of meningitis that affected the previous seven victims. Tests are being conducted now. The previous cases were caused by meningococcal bacteria known as serotype B.
University officials decided Monday to make available a vaccine that stops the spread of the type B bacteria. That vaccine hasn't been approved for use in the U.S.
The university said doses of the imported vaccine, Bexsero, will be available in December for undergraduate students, graduate students who live in dorms and employees who have sickle cell disease and other medical conditions that would make them less likely to be able to fight meningitis because of their weakened immune systems. Follow-up doses then will be available in February.
The university said the plan was recommended by the U.S. Centers for Disease Control and Prevention.