Kenny, a former Downing Street PR adviser, is to become vice-president of communications for Disney TV across EMEA from 11 July.
At the DCMS, where she has been director of strategy and comms for more than three years, Kenny worked on issues such as London's 2012 Olympic bid and the BBC charter review.
She will work closely with executive V-P and managing director John Hardie in the London-based role, effectively replacing Lucien Harrington, who has moved internally to an Asia-Pacific position.
Kenny is briefed with ensuring Disney's voice is heard in political debates on issues such as appropriate marketing to children. She will also promote Disney's TV brands and aim to improve the visibility of broadcasting operations within the corporation.
Before joining the DCMS, Kenny held the top PR job at the National Magazine Company. She spent five years as an adviser under John Major and Tony Blair.
The DCMS is expected to start recruiting for her successor shortly.
Disney wants its channels - such as Toon Disney, Playhouse Disney and the core Disney Channel - to penetrate 80 million European homes within five to ten years. The American conglomerate has identified TV as one of its target areas for growth within Europe.