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Tsonga set up three match points on Federer's serve in the 12th game, which the Swiss saved, but his luck ran out in the tiebreaker as the seventh seed set-up a meeting with third-seeded Briton Andy Murray.
Federer's loss ended a run of impressive form which began with a title victory at the Madrid Masters in May over Rafael Nadal and progressed through to Grand Slam trophies at the French Open and Wimbledon.
Murray overcame a battle with the elements to stay in contention for his best career ranking thanks to a 6-2, 6-4 quarter-final win over Russia's Nikolay Davydenko.
Murray, who trained in steamy Miami for two weeks leading up to his summer hardcourt return in Canada, said he was able to get on top of the sweltering 30 Celsius heat.
"I like these conditions," said the Scot. "I played quite a lot of long points and I trust the training that I've done. I've worked really hard off the court to be in the best shape possible."
Murray could take the world number two ranking from Nadal if he advances further than the Spaniard this weekend.
Nadal, playing in his first tournament since his shock French Open fourth round exit in May, had a later quarter-final against Argentine Juan Martin Del Potro, while Andy Roddick was facing Novak Djokovic.
The day was historic as the world's top eight players had reached the quarter-finals of a tournament for the first time since the rankings system was introduced 36 years ago.
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Federer's loss ended a run of impressive form which began with a title victory at the Madrid Masters in May over Rafael Nadal and progressed through to Grand Slam trophies at the French Open and Wimbledon.
Murray overcame a battle with the elements to stay in contention for his best career ranking thanks to a 6-2, 6-4 quarter-final win over Russia's Nikolay Davydenko.
Murray, who trained in steamy Miami for two weeks leading up to his summer hardcourt return in Canada, said he was able to get on top of the sweltering 30 Celsius heat.
"I like these conditions," said the Scot. "I played quite a lot of long points and I trust the training that I've done. I've worked really hard off the court to be in the best shape possible."
Murray could take the world number two ranking from Nadal if he advances further than the Spaniard this weekend.
Nadal, playing in his first tournament since his shock French Open fourth round exit in May, had a later quarter-final against Argentine Juan Martin Del Potro, while Andy Roddick was facing Novak Djokovic.
The day was historic as the world's top eight players had reached the quarter-finals of a tournament for the first time since the rankings system was introduced 36 years ago.
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