HONG KONG - The organisers of a massive protest that drew two million onto Hong Kong streets last weekend repeated calls on Tuesday (June 18) for Chief Executive Carrie Lam to step down for her mishandling of a divisive extradition Bill.

In a press conference on Tuesday afternoon, Mrs Lam offered her "most sincere apology" to Hong Kong, saying she realised she "needs to do more".

But it was not enough for the Civil Human Rights Front (CHRF).

About an hour after Mrs Lam's press conference ended, the CHRF held a press conference, with members of the coalition of pro-democracy groups and lawmakers holding up signs, repeating the demands which they said Mrs Lam had yet to respond to.

The protesters have called on Mrs Lam to withdraw the labelling of last week's actions as a "riot", to scrap the extradition Bill, to drop all charges against those arrested for rioting, to censure the police for their actions last week, and for Mrs Lam herself to step down.

The group rejected Mrs Lam's apology and said she was simply talking about her own problems without answering any questions, or meeting any of their demands.

Calling Mrs Lam "incompetent", convenor of the CHRF Jimmy Sham said Mrs Lam did not listen to the problems of Hong Kongers.

"We need a Chief Executive who responds to the problems of Hong Kongers, we don't need a Chief Executive who talks about her own problems," he told journalists outside the Legislative Council (LegCo) complex.

CHRF vice-convenor Bonnie Leung said they have repeatedly called on Mrs Lam to step down because she can no longer effectively govern Hong Kong.

"There are some mistakes too big that you do not deserve to have a second chance," Ms Leung said, in response to Mrs Lam's appeal to Hong Kongers to give her another chance to lead.

"I've said that I want another chance," Mrs Lam told the press conference which started at 4pm and lasted nearly an hour.

ACTIVIST JOSHUA WONG ALSO CALLS FOR MRS LAM TO STEP DOWN

Shortly after 6.20pm on Tuesday, activists Joshua Wong, Nathan Law and Agnes Chow - prominent figures of the 2014 Occupy Movement - held a press conference at the same site outside the LegCo complex where the CHRF spoke to reporters just a while ago.

The trio repeated calls for Mrs Lam to step down, and warned of more protests and "actions" should she not respond to their demands.

"It's time for a lesson, to let Carrie Lam know what's respect," Mr Wong told reporters. "There will be more and more actions... no matter what happens, Hong Kong people will continue to fight."

Mr Wong was just released from prison on Monday after serving time for organising the Occupy protests in 2014, which crippled Hong Kong's central business district for months.

"We urge the government to stop dividing Hong Kong people and to withdraw charges from those arrested," Mr Law said.