More than a million people have taken part in protests in Hong Kong in the last three weeks against a proposed extradition bill that would see suspected criminals be taken to the mainland to face trial.
China on Tuesday rebuked Donald Trump for "gross interference" in Hong Kong's affairs after the USA president said protesters who stormed the city's legislature wanted democracy for the financial hub.
Meanwhile, several protesters were pictured smashing windows and trying to storm the Legislative Council building.
China's ambassador was summoned to the Foreign Office on Wednesday following "unacceptable and inaccurate" remarks.
"So yes I do support them and I will happily speak up for them and back them every inch of the way", the former foreign secretary said.
China said in 2017 the Sino-British Joint Declaration was a historical document with no practical significance, and has regularly urged Britain not to interfere in Hong Kong affairs as protests have mounted.
"If this Bill is not completely scrapped, I will have no choice but to leave my home, Hong Kong", said Steve, a British lawyer who has worked in Hong Kong for 30 years.
Papers, rubbish and umbrellas - a protest symbol in Hong Kong used to ward off sun, rain and pepper spray - were strewn in lobbies and rooms.
Beijing's irritation with Britain intensified on Wednesday, as China's United Kingdom ambassador Liu Xiaoming told a news conference that London must "refrain from further interference" in Hong Kong's protests or risk "further damaging" its relationship with China.
Violent protests marked the 22nd anniversary of handover to Chinese rule Monday, as demonstrators stormed the parliament building.
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Hong Kong's government and its backers in Beijing may cite the invasion of the legislature as a reason to further restrict rights to assembly and demonstration in the territory, said Phil Chan, senior fellow at the think tank Institute for Security and Development Policy.
Hong Kong was meant to continue enjoying broad freedoms under the "one country, two systems" approach first adopted by China in the 1980s.
Lam said that the young protesters, who have blocked streets, police headquarters and other government buildings in a series of protests over the past three weeks, have sacrificed enough.
Rising tensions between Hong Kong residents and Chinese authorities may highlight the symbiotic relationship between Hong Kong and Canada by spurring a new cycle of migration from the former British colony.
Police in Hong Kong said they arrested 12 people in connection with the incidents on July 1, although it was unclear if those arrested were among the protesters who smash their way into the legislature building.
Hunt tweeted that "good relations between countries are based on mutual respect and honouring the legally-binding agreements between them", saying those values would "preserve the great relationship" between the two countries.
China has unwavering determination in safeguarding its sovereignty, security and interests in development and maintaining prosperity and stability in Hong Kong, Liu said, reiterating China's firm opposition to interference by external forces.
Demonstrators argue it threatens Hong Kong's autonomy (its right to rule itself) and undermines its independent legal system. "It is just shameless to say that Hong Kong's freedoms are negotiated for them by the British side".
Protesters had carried road signs, corrugated iron sheets and pieces of scaffolding as they barged into the council building.