Cuthbertson has been Global Design Director for Topshop since December 2017, with previous experience as Design Director for Roberto Cavalli from July 2015.
In the newly created role of Global Creative Director, he will be responsible for brand, product, store and creative direction strategy.
Cuthbertson will soon replace Michael Bastian, who will continue as Creative Director on an interim basis until later in the year.
At Topshop, Cuthbertson was responsible for overseeing all design and product as well as collaborations and boutique collections.
Ted Baker Chief Executive, Rachel Osborne, said: “We look forward to welcoming Anthony, whose experience at a number of high-profile brands has given him an excellent understanding of what it takes to amplify a brand and make it more relevant.
“His experience will be particularly valuable as Ted Baker sets out to expand its product and its relevance, a crucial part of its strategy to return Ted Baker to profitable growth.
“We would like to thank Michael Bastian for his significant contribution as our interim creative director. He has set an exciting design direction for both men’s and women’s wear since joining us in January, and we look forward to seeing this come to life through our Autumn/Winter 20 collections.”
Earlier this week, Ted Baker announced the appointment of David Wolffe as its new Chief Financial Officer.
Wolffe’s appointment comes only a month after previous CFO Rachel Osborne stepped up to become the brand’s third CEO in just over a year, following a series of profit warnings and a misconduct scandal which claimed the head of Founder Ray Kelvin.