"The central government firmly supports Carrie Lam leading the Hong Kong government's administration according to law, firmly supports the Hong Kong police strictly enforcing rule of law", Yang Guang, a spokesman for the office, told the news conference.
"What is most unsafe is the lack of effective handling of the violent criminal activities, what is most important now for Hong Kong is to handle the criminal activities in accordance with law and restore law and order, instead insisting that the "most dangerous" scenario would be the lack of effective operations against 'violent criminal activities'".
Hong Kong has been governed under a "one country, two systems" model since the city transferred from British to Chinese rule.
"We hope that the general public will clearly understand the seriousness of the current state of affairs and jointly denounce the bad actions and crimes committed by radicals, and prevent them from harming Hong Kong", he added.
Spelling out China's zero-tolerance towards unlawful protests, Mr. Yang said: "We can not just sit by and watch a small group of people recklessly trample on the rule of law".
Protests over the past two months spearheaded by anti-government activists against a proposed bill that would allow people to be extradited from the city to stand trial in courts in mainland China have grown increasingly violent.
Sunday marked the eighth consecutive weekend of mass demonstrations in Hong Kong.
But the noxious gas fired around the trendy Sheung Wan neighbourhood just west of central Hong Kong seeped into packed residential buildings, hotels and air-conditioning systems. Many wore black, the adopted color of the protest movement, and carried signs condemning alleged police brutality.
With the use of tear gas, rubber bullets, and pepper spray, police were eventually able to clear the streets, forcing protesters into metro stations where some demonstrators continued to fight back, using a fire hose.
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Protesters have discovered the tear gas canisters used were actually made in Pennsylvania and include a warning which states they should not be fired "directly at persons".
The demonstrators are demanding, among others, direct elections for the semi-autonomous Chinese territory's leader, Lam's resignation, and an investigation into police use of force to quell the protest movement. They now also want protesters that were arrested to be exonerated.
Chinese officials blame unspecified western countries for the unrest as the violent protests continue; Kitty Logan reports.
Nine people were hurt on Saturday, Radio Television Hong Kong reported, while police said four officers were injured.
Large-scale demonstrations against a controversial extradition bill that would allow mainland China to seek extradition of criminal suspects have entered their ninth week.
"The SAR government and police should not forget that their strongest backing comes from the sacred missions bestowed on them by the Basic Law and the law of Hong Kong".
In response to an attack in a Hong Kong suburb on mostly anti-extradition protesters by alleged gang members, protesters vowed to march on the suburb, a few seeking revenge.
Taiwanese authorities are mounting a purge on disinformation spread via the Internet, with a concerted move to refute allegations from pro-Beijing media that Taiwanese agents colluded with protesters in Hong Kong.
Such scenes were repeated this weekend, as police battled to push protesters away from the China Liaison Office in downtown Hong Kong, which has become a focus of the demonstrators' anger.
Police arrested 13 people that day while hospital authorities said 24 people were hurt, two seriously.