BEIJING — The Chinese government on Monday laid down its firm support of Hong Kong’s embattled leader and police force but failed to offer any clear solutions after two months of rolling protests that have flared into violence and stoked opposition to Chinese rule.

Chinese officials made a strongly worded defense of the local Hong Kong authorities during a rare news conference in Beijing by the government office that oversees policy toward the city. But they failed to address the demonstrators’ demands for more accountability in the police force and a greater say in the city’s future, which could pave the way for more unrest.

“Hong Kong cannot afford to have instability,” Yang Guang, a spokesman for the Chinese government’s Hong Kong and Macau Affairs Office, told reporters. “Should the chaos continue, it is the entire Hong Kong society that will suffer.”

Protest organizers quickly said the briefing could feed the momentum of the demonstrations by reinforcing the widely held perception that Beijing and the city’s leadership are oblivious to the will of Hong Kong’s residents.