McTear will report to Trevor Beattie, the chairman and creative director of the agency. McTear will initially be paired with the copywriter Paula Marcantonio.
McTear's first brief is likely to be on Adidas. He has also been earmarked to work across a range of accounts including Hutchison's third-generation mobile network, 3, Sony PlayStation and Five.
During his eight-year tenure at BBH, McTear produced spots including the "Bruce Lee" execution for Levi's and the launch film for Club Med, "everybody's talking".
The "twisted" commercial, on which McTear worked with the copywriter Mark Hunter, won a host of awards in 2002, including one gold and three silvers at D&AD, two golds at Cannes and two golds at the British Television Advertising Awards.
Before working for BBH, McTear spent five years at Abbott Mead Vickers BBDO.
McTear said: "Anyone thinking of leaving is going to look at approaching TBWA."
John O'Keeffe, the executive creative director at BBH, said: "I am delighted to hear that Tony has accepted a position at TBWA."
"Tony is a major talent with a fabulous track record and I've made no secret of the fact that I plan to build the most formidable creative department in London," Beattie said.