Dara Khosrowshahimade the apology in an open letter addressed to Londoners today, days after Uber had been deemed not "fit and proper" to operate in London by Transport for London's (TfL) last week.
"While Uber has revolutionised the way people move in cities around the world, it's equally true that we've got things wrong along the way," he wrote.
"On behalf of everyone at Uber globally, I apologise for the mistakes we've made."
Khosrowshahi's letter seems to mark a decisive shift in Uber's strategy and an attempt to present a more conciliatory approach.
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"We will appeal (against) the decision on behalf of millions of Londoners, but we do so with the knowledge that we must also change," the letter adds.
Earlier today, London Mayor Sadiq Khan had accused Uber of adopting an agressing stance and putting "unfair pressure" on TfL.
"I appreciate Uber has an army of PR experts, I appreciate Uber has an army of lawyers they've also made aggressive threats about taking us to court."
Uber's licence to ride in London runs out on September 30 but the company can continue to operate as it appeals against TfL's decision not to renew the licence, a process that is likely to take months.
A petition calling on the London mayor to reverse the ban on Uber has now gathered more than 750,000 signatures.
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