That result helped Roddick, 29, back inside the world's top 30 after a run of injuries, and he is targeting a good run on grass this summer.
"I love coming back to the Queen's Club," said Roddick.
"There's so much history there and it's one of my favourite tournaments on the Tour. It's hard to believe I've won a tournament as strong as this four times and I'd love to win it again."
France's Tsonga has already confirmed he will try to go one step further than last year's run to the Aegon Championships final, where he lost to Murray.
Murray delights crowd with trick shots
Tsonga went on to beat Roger Federer on his way to the Wimbledon semis, and hopes for similar success in 2012.
"I know that I can beat everybody on grass, so why not?" he said. "I know on grass that I am a good player. I go to the net and I serve well."
Argentina's Juan Martin del Potro, who won the US Open in 2009, has also confirmed he will return to the Wimbledon warm-up for the third time.
"I like the surface," said Del Potro. "I'm not a grass-court specialist, but I'm improving. I think if I play my best tennis I have a chance to win a Grand Slam on grass but it will be very difficult."
Murray is likely to be the top seed when the tournament begins on 11 June, with Tsonga currently in line to be the highest-ranked player in the opposite half of the draw.
"I had an incredible year in 2011, and it all started there," said Tsonga, who went on to reach the final of the ATP World Tour Finals at the end of the year.
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