If they have to pay to renew the lease, that's is a kind of property tax, especially if an individual has to compete to buy their own lease. This may or may not be the case.
There are also ostensibly value-added taxes and land appreciation taxes but I'll admit those are not property taxes per se.
There is also this source that says that select cities such as Shanghai and Chongqing have pilot programs for property tax primarily targeted at high-value residential properties and secondary homes but they don't have any sources, so I have no clue if it's true.