Uber plans to put forward further reasons for its appeal before a planned hearing on December 11.
"While we have today filed our appeal so that Londoners can continue using our app, we hope to continue having constructive discussions with Transport for London", Uber added on Friday.
London's transport authorities decided last month not to renew Uber's operating license, citing a lack of corporate responsibility.
Enabling consumers to find and hire transport services
Despite the decision from TfL, and Uber's licence expiring on 30 September, Londoners will still be able to hail Uber cars until the full legal process is finalised, which could take up to a year or more.
TfL said it took the decision on the grounds of "public safety and security implications".
Uber CEO Dara Khosrowshahi has held talks with London's transport agency in a bid to keep the service operational. In his open letter Khosrowshahi vowed to make things right with for Uber, so that it can still drive through the streets of London.
It also questioned the process through which drivers obtain their medical certificates and the practice of "greyballing", when the company uses a fake version of its app to fool regulators in cities in which it is banned. Khosrowshahi apologized for "the mistakes" the company had made.
Uber has been used by 3.5 million Londoners, developing a loyal fan base by offering convenience and lower prices than traditional "Black Cabs".
His predecessor, Travis Kalanick, left the company following allegations that managers didn't adequately address reports of sexual harassment.
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In addition, the ride-hailing firm launched an online petition that over got over 850,000 online signatures, before the Uber CEO and TfL boss Mike Brown met to discuss Uber's future.