Protesters spread pamphlets and posters across the floor in a section of the terminal but were not impeding travellers.
Daniel McAdams, executive director of the Ron Paul Institute for Peace and Prosperity, told RT that the U.S. government has always been involved with Hong Kong's protest movement, adding "it's widely known that the United States, through its National Endowment for Democracy, has bankrolled a lot of these political parties and political leaders".
The authority said in a statement that the interim injunction will "restrain persons from unlawfully and wilfully obstructing or interfering with the proper use of Hong Kong International Airport". It is not clear whether the demonstrations would have continued on Wednesday, or if protesters will show up despite the court's order. Those cancellations were in addition to 200 flights cancelled on Monday.
Local police say they detained five demonstrators at the airport on charges of battering police officers and carrying weapons.
In the evening they battled with riot police armed with pepper spray and batons outside the terminal.
More than 700 protesters have been arrested in total since early June, mostly men in their 20s and 30s, but also including women, teenagers and septuagenarians.More news: Trump confirms China moving troops to Hong Kong border
A Cathay customer officer at the airport, who declined to provide his name, said almost all the airline's flights were full.
Hong Kong police have admitted deploying officers disguised as anti-government protesters during the unrest in the city.
At a press briefing in Beijing, Mr Yang Guang, spokesman for the Hong Kong and Macau Affairs Office of the State Council, links foreign interference with separatism.
The airport, one of the world's busiest, blamed demonstrators for halting flights on Monday.
Continued unrest in Hong Kong has resulted in hundreds of injuries, many more arrests, and increasing global attention.
Chinese state media has also posted messages of support for the Hong Kong police, describing what was happening in the city as "a shame". Some 21 countries and regions have issued travel safety alerts for their citizens travelling to Hong Kong, saying protests have become more violent and unpredictable.
"I hope it works out for everybody, including China", he told reporters, adding: "I hope it works out for liberty".More news: Argentina’s peso, stock exchange plunge after President Mauricio Macri vote defeat
Lam has rejected calls for dialogue, saying on Tuesday the protesters were threatening to push their home into an "abyss".
Sections of the Hong Kong business elite, concerned at Beijing's encroachment on their interests, had initially supported the protests against the extradition bill but are now calling for an end to the protest movement.
Earlier on Tuesday, a journalist from China's Global Times media outlet was claimed to have been seized by protesters at the airport.
Riot police use pepper spray to disperse anti-extradition bill protesters.
A few dozen protesters remained at the airport on Wednesday while workers scrubbed it clean of blood and debris. Airport security appeared unable to control the crowd, and paramedics later took both men away. "I affirm this man being tied in this video is the reporter himself".
Scuffles broke out between protesters and travellers, and vigilantism occurred when demonstrators turned on two men.
On Tuesday, China's state media said an official with the foreign ministry office in Hong Kong denounced the "arrogance and biases of some US politicians", adding that McConnell's remarks sent protesters a "seriously mistaken signal".More news: Guatemala's new president says "Maybe not Señor Trump"