The six-figure deal with the firm, now known as LV=, follows a test project by TBG in 2007 that included the implementation of a range of display placements to promote LV='s motor insurance products.
Under the deal, ads will run on Facebook and Yahoo, as well as finance and motoring websites including 4Cars, Sky Motoring, Sky Money and Top Gear. TBG's appointment follows an increased investment in digital activity from LV=.
Scott Holmes, TBG's head of insurance and head of the LV= account, said: "The investment is an indicator that online advertising is growing in importance for consumer brands to rival more traditional channels such as print and TV."
Barry Grainger, brand manager at LV=, said the company was using the internet to build awareness of its new brand identity as well as to drive sales to its website LV.com.
LV= is the latest addition to TBG's insurance portfolio, which includes Cornhill Direct, Moneysupermarket.com and Yes Insurance.