The newly created role will see her producing video across all the brands for editorial and commercial.
Condé Nast has titles such as Vogue, Glamour and GQ.
Wil Harris, the head of digital at Condé Nast Britain, said: "Video content is a key strategic opportunity for Condé Nast, and Danielle will be heading up a dedicated central video team to work alongside our editorial and commercial teams to develop high quality video content."
Bennison-Brown will take on the role on 12 January and will report to Harris.
She was previously global head of video for i-D, which is now part of Vice, where she launched the title’s video offering.
She said: "Condé Nast has long understood the value of creating truly premium editorial.
"With some of the world’s most respected media brands, Condé Nast is perfectly positioned to make an equally meaningful impact in video."