Jaywing said Fuller's appointment would help strengthen its digital technology arm, and follows his work as an independent consultant for the company. He will retain his position as chairman of the DMA's Mobile Marketing Council and position on the DMA board.
The company, which is a member of Digital Marketing Group, has a client list that includes British Gas, BT, HSBC and Lloyds TSB.
Fuller said: "[Jaywing's] approach, philosophy and products are both exciting and necessary to help brands transform their marketing and take full advantage of the opportunities in current and emerging media technologies."