The Indian outlasted the 29-year old Chinese player, ranked No.3 in the world, in 54 moves with white pieces late on Wednesday.
Anand will face Latvian grandmaster Shirov Alexei, while Harika will take on French Grandmaster Laurent Fressinet in the fourth round.
Anand notched up an emphatic win over American Marc Esserman, while Harika beat Englishman Oyama Akito in the first round late last night.
Chennai: Indian chess Grandmaster Harika Dronavalli exited the World Women's Chess Championship on Tuesday, losing the crucial semi-final tie-breaker to Ukraine Woman GM (WGM) Mariya Muzychuk.The tie-breaker scores stood at 3.5-2.5 in favour of Muzychuk.In
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