The two bi-annual titles were previously printed by BGP in Bicester, which was acquired by Polestar last year, but Condé Nast decided to transfer the work to Wyndeham, extending its existing portfolio with the printer.
Other titles making up the portfolio include Vogue, House & Garden, Brides, Tatler, The World of Interiors, GQ, Vanity Fair and Wired.
As part of the agreement, the publisher has renewed its print contract with Wyndeham until 2017, extending its previous contract which was signed last year.
Wyndeham Roche’s two Lithoman IV 64/72pp web offset presses and three Muller Martini Corona perfect binding lines are used for the majority of the Condé Nast work.
Wyndeham Group chief executive Paul Utting said: "This is one of the most prestigious print contracts and we are privileged to have Condé Nast in our portfolio. The work comprises a number of market-leading titles that demand first-class quality and service.
"This renewal, together with the additional number of titles that have been awarded to us, endorses the confidence and long-term commitment that Condé Nast has in Wyndeham."
Condé Nast production director Sarah Jenson added: "Our contract extension signifies Wyndeham Roche’s 100% commitment to producing magazines for us in a manner which consistently reflects the highest quality standards in the web offset and sheet-fed industry today – the company deserves our continued support."