The Swiss veteran and her Chinese partner lost to Croatia's Darija Jurak and American Nicole Melichar 7-5, 3-6, 2-10 in the doubles first round, Xinhua reported.
"I am very disappointed," said Hingis, who had won doubles titles in Wuhan, Guangzhou and Beijing with India's Sania Mirza.
Second seeded Chinese pair Xu Yifan and Zheng Saisai beat Elizaveta Kulichkova and Evgeniya Rodina from Russia, 6-4, 6-4
In the singles second round, third seed Karolina Pliskova from the Czech Republic overcame Poland's Magda Linette 6-2, 6-1, while fifth seed Kristina Mladenovic of France beat Urszula Radwanska of Poland 6-4, 6-4.
Hungarian Timea Babos advanced after stunning seventh seeded Alison Riske from the United States 6-3, 6-3.