The northern city of Tianjin has become the latest Chinese city to restrict property purchases, the city government says, as second- and third-tier cities across the country try to cool rising home prices.

In a statement posted on its website, the city said it would stop people who do not have the “hukou” residence permit for Tianjin from buying a second property in the downtown area. Down payments for non-residents in downtown locations will also have to be no less than 40 per…