The appointment follows 25 per cent growth in sales in its UK business in 2010, over 2009, partly as a result of an increase in the company’s mid-sized business client base.
Drury was previously vice president and head of sales for Europe and takes over from Kaveh Atrak, previously general manager for the UK, Nordics and Central Europe.
Atrak will continue as general manager for the Nordics and Central Europe.
Amex Global Business Travel president Charles Petruccelli said: "The UK is an important market for us where we have seen strong growth in the past year. I am looking forward to Anthony leading the UK business to increase our growth and market leading position."
Drury joined American Express in 2002 and has worked across Europe and Asia Pacific.
He said: "We have seen companies emerge from the recession and now setting their sights on how to grow their business and capitalise on opportunities in the recovery, with business travel acting as a key means to achieve these objectives.
"I am looking forward to working with the UK team to deliver best in class service and innovative technology to help our clients optimise their travel spending by using travel as an essential investment in contributing to corporate growth."