Bryant, who was client services director at Posterscope, will begin his new role in February 2013 after six months' gardening leave.
Nick Jarman, managing director at Talon, said: "Not only are Frank's industry knowledge and contacts outstanding, he is also a hugely experienced and respected figure.
"When Eric Newnham became a shareholder last month, we said that it was our first step in creating a strong, forward-thinking and innovative agency. Frank's appointment is the next step."
Newnham said: "Talon's independence was a key factor in attracting my interest in the agency and Frank feels the same.
"Talon isn't just claiming to be different – as a team we are giving clients access to some of the best advice the sector has to offer, as well as fresh thinking and a fresh approach. Frank's contribution to this mix will be invaluable."