The Indo-Chinese pair will now take on 8th seeded Australian pair of Ashleigh Barty and Casey Dellacqua in the semi finals on Thursday.
Sania and Zheng were quick to seize the initiative and a single break was enough to give them the opening set.
The second set went on serve before the Indo-Chinese combination secured a mini-break and held their serve thereafter to pocket the match.
For records, this is Sania's best showing at a Grand Slam in women's doubles in 2013 after having failed to go past the 3rd round in the previous 3 Grand Slams. It will Sania's first semi-final appearance in the US Open and her fourth overall in a major tournament.
The Indian tennis ace has now reached the last four stage in the women's doubles at all the four major tournaments.
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(with PTI inputs)