Images published by The Paper appear to show a man dressed in dark clothes wielding a knife in each hand.
One witness told China’s Red Star News he narrowly escaped the attack and that one or more doctors were among the injured.
Footage the witness recorded showed people bleeding and lying on the ground, with one older person trying to help another.
No motive identified
No details have been released about the identity of the injured. The police said they were receiving treatment and investigations were ongoing.
Although guns are illegal in China, the country has been confronted by a series of mass stabbings in recent years.
In 2014, China was horrified by another mass stabbing carried out by a group of eight knife-wielding attackers at a train station in Kunming, the capital of Yunnan, in which 31 people were killed and 141 were injured.
The Chinese government blamed Islamic extremists from the western region of Xinjiang for the assault.
Knife attacks have often occurred at kindergartens. Last July, a man with a knife killed six people and wounded one other at a kindergarten in the Guangdong province in the country’s southeast.
A man who injured 15 people, six seriously, in a knife attack at a Shanghai hospital in 2022 was sentenced to death last year.
Zhenxiong County, situated in Yunnan’s northeast, borders the Guizhou and Sichuan provinces and lies 350km northeast of Kunming. Until 2020, it was classified as being “poverty-stricken”.