Murray also had to save a set point in the second set of his match against Tsonga, although by that stage the US Open champion’s place in the semi-finals was assured.
Tsonga, despite losing his opening two round-robin matches, could have reached the semis at Murray’s expense with a straight sets knockout, but a loose start scuppered any hopes he had.
Murray surged into a 4-0 lead as a languid Tsonga gifted the Scot two service breaks with a rash of unforced errors.
Tsonga finally got off the mark in the fifth game, but it did little to alter the flow of the match as Murray quickly wrapped up the opening set.
Two double faults from Tsonga helped the world No. 3 break serve at the start of the second. Murray then appeared to lose focus when he was broken to love and pegged back to 4-4.
The Frenchman wasted a set point on Murray’s serve at 6-5, but with nothing to lose he at least treated the 17,000 crowd to a few glimpses of his eye-catching brand of tennis.
Murray avoided using up any extra energy ahead of the semi-finals when he claimed the second set tiebreak 7-3 to the delight of the noisy home fans.