The Spaniard had no trouble putting the match away as Tsonga's game fell apart and the title he won superbly last year was taken from him.
Djokovic's win over Soderling wrecked the Swede's hopes of a first-ever appearance in the ATP Tour Finals.
Soderling, who made the final of the French Open the last time he played in Paris in June, went into the match knowing that he needed to at least reach the final here to clinch the remaining spot in the season-ending tournament.
He did just fine in the second set which he won 6-1 after dropping the first, but in a tense decider he was the first to crack on serve in the eighth game when two unforced errors on the backhand side followed by a double fault gave Djokovic three breakpoints.
Soderling saved the first of these, but then netted a weak backhand to hand the break to the third seed who made no mistake in serving out for the match.
The remaining two quarterfinals on Friday see France's Gael Monfils take on Marin Cilic of Croatia followed by U.S. Open champion Juan Martin del Potro of Argentina against Radek Stepanek of the Czech Republic.
The losses for Tsonga and Soderling meant that Spain's Fernando Verdasco was assured of the eighth and final spot in the November 22-29 ATP Tour Finals in London.
The other players qualified for that are Nadal, Djokovic, Roger Federer, Andy Murray, Juan Martin del Potro, Andy Roddick and Nikolay Davydenko.
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2020-09-15
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