Glanvill, who is currently MindShare's managing director, will replace Kelly Clark, who is moving to a wider role running WPP's Group M across Europe.
Glanvill, 36, joined MindShare, which has billings of £716 million according to Nielsen Media Research, in 2000 from BBJ, where he was the planning director. He ran its digital division, mdigital, and was promoted from director of its futures division to managing director in 2004.
Clark said: "Jed is the best person for this job. He knows our company inside out and has been a driving force behind the development of our House of Media offer.
"Many of our clients know him already and respect his ability to get things done. I couldn't be more confident that Jed and our team will now take MindShare to an even stronger position."