"While Uber had revolutionised the way people move in cities around the world, it's equally true that we've got things wrong along the way," Uber chief executive, Dara Khosrowshahi, wrote in an open letter.
"On behalf of everyone at Uber globally, I'd like to apologise for the mistakes we've made."
But he insisted: "We will appeal this decision on behalf of millions of Londoners, but we do so with the knowledge that we must also change."
Transport for London (TFL) on Friday said it would not renew Uber's licence to operate in the capital on expiry, owing to public safety concerns.
Uber, which has about 40,000 drivers and some 3.5 million customers in the British capital, has 21 days to lodge its appeal and can continue to operate until that process has concluded.
Khosrowshahi added in the letter: "We won't be perfect, but we will listen to you; we will look to be long-term partners with the cities we serve; and we will run our business with humility, integrity and passion."
Uber has seen its global popularity explode since it launched in 2009, but also faces bans in other hubs including Cape Town, Mumbai, and New Delhi.
TFL has slammed the company for its approach to customer safety, claiming it was "not fit and proper" to operate in London -- and blamed "public safety and security implications" for its decision.
The capital's mayor, Sadiq Khan, on Monday declared that Uber has "got to play by the rules".
He attacked also the firm for "making aggressive threats" and hiring an "army of PR experts and lawyers" to fight the ruling.
Uber came under scrutiny in Britain after it emerged that dozens of rape and sexual assault claims had been made against their drivers and when one of their drivers used his vehicle in a recent terror attack on Buckingham Palace.
It questioned also 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.
More than 750,000 Londoners have so far signed a petition calling for the TFL decision to be reversed, while the move has sparked concern over the plight of Uber drivers, many of whom have car finance deals in place.
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)