The agency has also promoted its senior creative duo Nick Bird and Lee Smith to the roles of creative directors to join Jordan-Bambach on the agency's board.
All three will report to the joint executive creative directors Flo Heiss and Danny Brooke-Taylor.
Heiss said: "Laura is one of the most inspiring and creative people we know. And with Nick and Lee stepping up to wear the captain's armbands, it's a great start to 2012."
Meanwhile, LBi has boosted its own creative offering, with the appointment of Gavin Gordon-Rogers and Gemma Butler as creative directors. Gordon-Rogers most recently worked at Wieden+Kennedy as the interactive creative director but left due to job cuts at the agency.
The husband-and-wife duo will be based in the agency's Edinburgh office, where they will work on Skype, Bupa, Play.com and British Airways.