Jones will also take on the role of UK client services director, overseeing clients including Barratt Homes, Invesco Perpetual and the Food Standards Agency.
Last October, Jones was named the managing director of a merged Anorak/de-construct operation. However, he left two months later when it folded into glue London.
Jones founded Anorak, which was created to provide the Aegis network Isobar with a digital design and production presence, in 2006, having previously worked as the head of account management at glue.
Anil Pillai, the LBi managing director, said: "Glenn's experience of delivering solutions to leading brands that blend creativity, social and media will inject more ambition into our established client relationships."