The changes were expected to cost USD 60 million before taxes in mostly employee-related charges in the first quarter of 2016, but headcount reduction will result in USD 30 million in savings this year, the company said in a statement.
Savings were expected to reach up to USD 70 million in 2017.
Avon has "significant commercial operations" in Great Britain and the move would happen "over time," the statement said yesterday, without giving a specific timeline.
The company will maintain two facilities in New York state, continue to be incorporated in New York and trade on the New York Stock Exchange.
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Shares of Avon (AVP) were up two percent in after-market trading.
As of late last year, Avon employed 28,300 people outside of North America.
In December, hedge fund Cerberus Capital Management bought a 16.6 per cent stake in Avon and 80.1 per cent of its North American business, in a deal worth USD 605 million.
Avon's departure comes as other corporations leave the US for more tax-friendly bases, a trend dubbed "tax inversion" that President Barack Obama has condemned as "unpatriotic.