Printing and binding of the monthly titles will take place at the group's web-offset Roche facility in Cornwall.
The magazines will be printed on Wyndeham's two Lithoman IV 64/72pp web offset presses, with binding carried out on its Muller Martini Corona perfect binding lines.
Wyndeham's contract extension with the publisher comes on the back of a lease extension for its Roche facility.
Wyndeham Group chief executive Paul Utting told PrintWeek that the deal recognised the group's ongoing commitment to producing a high-quality product for customers.
He added: "This deal further builds on the strong relationship between our companies and is, of course, great news for Wyndeham Roche.
"Our staff at Roche have invested in this business and, equally, we have invested in them, so we are delighted that Condé Nast has renewed this contract with us."
Other Condé Nast Britain titles covered by the contract include House & Garden, Tatler, The World of Interiors, Brides, Vanity Fair, Easy Living and Wired.
Sarah Jenson, production director of Condé Nast, added: "Condé Nast remains committed to producing the highest quality printed and bound magazines.
"Wyndeham Roche works very hard to maintain and reflect our standards, which in turn sets the benchmark for the industry, and the company fully deserves our renewed support."
Wyndeham lands three-year contract extension with Condé Nast
Wyndeham Group has sealed a three-year contract extension with Condé Nast Britain to produce its consumer magazines, encompassing leading titles such as Vogue and GQ.