New Prime Minister Boris Johnson is continuing to appoint new ministers, with the process of forming his government expected to continue into Friday
Nigel Adams is confirmed as a culture minister and Lucy Frazer joins the Ministry of Justice
Mr Johnson made his first address to MPs earlier, promising a "new approach" to Brexit and a "golden age" for the UK
Labour leader Jeremy Corbyn accused Mr Johnson of having "no plan" for Brexit
Mr Johnson's new cabinet earlier held its first meeting at 10 Downing Street
Boris Johnson's first cabinet meeting at Downing Street has finished and he will head to Parliament to address the House of Commons for the first time at 11:30.
Dominic Raab, who replaced Jeremy Hunt as foreign secretary, was among those seen leaving No 10.
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Sean Coughlan
BBC News, education correspondent
Image source, ReutersGavin Williamson will have to deliver an increase in spending on England's schools after replacing Damian Hinds as the new education secretary.
Mr Williamson was sacked from his previous post as defence secretary at the start of May after an inquiry into a National Security Council leak.
Boris Johnson made the spending pledge on his first day in office as the new prime minister.
Head teachers said this "funding crisis" should be his priority.
Read more from Sean here.
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Boris Johnson says his priorities include making the streets safer, education funding and "doing everything that we can to unite our amazing country".
The new prime minister says it was the agenda on which they are now all embarked and urged them to "all put our shoulders to the wheel".
Addressing the room, Boris Johnson told his new cabinet: "As you all know we have a momentous task ahead of us, at a pivotal moment in our country's history.
"We are now committed, all of us, to leaving the European Union on October 31 or indeed earlier - no ifs, no buts.
"But we are not going to wait until October 31 to get on with a fantastic new agenda for our country, and that means delivering the priorities of the people."
Image source, PA MediaBoris Johnson has told his cabinet it was "wonderful to see this new team assembled here" which respected the "depth and breadth of talent in our extraordinary party".
During the first cabinet meeting of his premiership, cabinet secretary Mark Sedwill sat to his right, and Chancellor Sajid Javid sat on his left.
Australia will be "one of the first cabs off the rank" when discussing post-Brexit trade deals with the UK, the country's prime minister Scott Morrison says.
Mr Morrison says Boris Johnson's move to No 10 has resulted in a "time of change" for the UK, adding: "I think the new prime minister will bring a new opportunity".
He adds: "It was good to be able to catch up with him last night and I look forward to our meeting."
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After Iain Duncan Smith's "subcontinent" comment, it should be perhaps be clarified that Priti Patel was born in Harrow in north-west London. Her parents, who are Indian, moved to Uganda and then came to the UK in the 1960s.
Priti Patel's appointment as Home Secretary was described as an "important" reflection of the "changing nature of Britain" by the former Leader of the Conservative Party, Iain Duncan Smith.
Speaking to the Today Programme, he said: "She’s a woman and she also comes from the subcontinent, which is really important."
He also noted her commitment to Brexit, saying "she does believe in the project".
Image source, Getty ImagesThe former Leader of the Conservative Party spoke to the Today Programme
When asked whether the Conservative Party was taken over by the far-right, Iain Duncan Smith said not all Brexit supporters are on the political right.
"If you look at the people that support Brexit, it’s a complete mix of people who are communists on one side to people who are Conservative, you’ve got Nigel Farage on the other side," he said.
"All I’m saying is, it’s an incorrect defining moment," he added.
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The last of Boris Johnson's ministerial appointments last night was Kwasi Kwarteng who was named as a minister at the department for business, energy and industrial strategy - and will attend cabinet meetings.
The Brexit-backing MP for Spelthorne was only appointed just after midnight but he's already up and tweeting this morning - and now just has to make it to Downing Street in time for the meeting.
Andrea Leadsom, the new business secretary, has arrived for Boris Johnson's first cabinet meeting, which is just about to start.
When asked if the cabinet can unite the country as she made her way to Downing Street, she replied: “I hope so."
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Image source, Getty ImagesNew Chancellor Sajid Javid arrives with Julian Smith, the Northern Ireland Secretary
Image source, ReutersJacob Rees-Mogg, the new leader of the Commons, has been one of Boris Johnson's biggest supporters
Image source, Getty ImagesNew Home Secretary Priti Patel is joined by former Tory party chairman Brandon Lewis
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Work and Pensions Secretary Amber Rudd and new Justice Secretary Robert Buckland have arrived for Boris Johnson's first cabinet meeting, which will get under way shortly.
Both have previously said they wouldn't support a no-deal Brexit.
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