"No one should have to go through a horrific experience like this, and we're truly sorry that she's had to relive it over the last few weeks," Uber said in a statement.
The lawsuit, which also names Uber chief executive Travis Kalanick as a defendant, comes as the company has been rocked by a series of high-profile scandals, most prominently over its treatment of women, and what is seen by many as a toxic work environment. Earlier this week, Kalanick said he will began an indefinite leave of absence, following an investigation by an outside law firm into the company's workplace culture.
Former U.S. attorney general Eric H. Holder Jr., led the inquiry, along with his colleagues at law firm Covington & Burling, issuing a report to Uber's board of directors, which included 47 recommendations.
Read more about Uber: