Jeremy Corbyn said his party would "stand united" as he used his conference speech to pledge a "kinder politics".
Jeremy Corbyn has told British voters they don't have to accept that inequality and injustice are inevitable - and things "can and must change".
He said there would be "no rudeness from me" and emphasised his patriotism and values.
In his first conference speech after becoming Labour leader, Mr Corbyn vowed to create a "kinder politics, a more caring society".
Labour's new leader also dismissed claims of a "split" in his top team, saying this was "grown up politics".
But he also attacked David Cameron's "shocking broken promises" and said Labour would "challenge austerity".
He called for an end to "personal abuse" and pledged to put "real values back into politics".
And he restated his belief in getting rid of Britain's nuclear weapons.
Mr Corbyn, who was given a long standing ovation as he took to the stage, addressed the policy issue - defence - where a number of his shadow Cabinet disagree with his stance.
Mr Corbyn arrived on stage in Brighton to a lengthy standing ovation from Labour delegates and his shadow cabinet, before delivering a 59 minute speech that eschewed the traditional section on the leader's family and background.
He said a "strong military" was needed and said there was "no contradiction between working for peace across the world and doing what's necessary to keep us safe".
There were jokes - he took a swipe at some of the press coverage he has received since his surprise Labour leadership victory - but he also spoke at length, and off the cuff, about his values and how he planned to change his party.
There were no policy announcements but he covered a broad range of issues including:
He addressed head-on David Cameron's claim that he represented a threat to the security of British families.
"How dare these people talk about security for families and people in Britain? There's no security for the 2.8 million households in Britain forced into problem debt by stagnating wages and the Tory record of the longest fall in living standards since records began," he said.
"And that's the nub of it. Tory economic failure. An economy that works for the few, not for the many."
'Rich country'
He told Labour activists he was "unapologetic about reforming our economy to challenge inequality and protect workers better" and said people should not have to accept what was given to them by global corporations, and there should be no limit on what they could achieve.
"We are a rich country. These things are not necessary or inevitable. They can and must be changed."
He said most British people shared his values, adding: "I know there's a big British majority for building a more equal society, for eliminating poverty and homelessness."
Contrary to some predictions, Mr Corbyn did not use the speech to issue an apology for the Labour Party's role in taking Britain to war in Iraq under Tony Blair.
But he told the packed hall: "It didn't help our national security when we went to war with Iraq in defiance of the United Nations and on a false prospectus."
Trident
And he signalled his opposition to any government attempt to secure Parliament's support for military action in Syria, saying a "diplomatic strategy" via the United Nations could secure peace.
He repeated his opposition to renewing the Trident nuclear weapons system, a stance not shared by his shadow defence secretary Maria Eagle, who he has asked to lead a review on the issue, but added the jobs and skills of people working in the defence industry had to be protected "so that we gain from this, we do not lose from this".
He repeated his opposition to renewing the Trident nuclear weapons system, a stance not shared by his shadow defence secretary Maria Eagle, who he has asked to lead a review on the issue, but added the jobs and skills of people working in the defence industry had to be protected "so that we gain from this, we do not lose from this".
And he attacked the "commentariat" for reporting "splits" in his top team, saying "this is grown-up, real politics where real people debate real issues".
And he attacked the "commentariat" for reporting "splits" in his top team, saying "this is grown-up, real politics where real people debate real issues".
To a standing ovation, he added: "Cut out the personal abuse, cut out the cyber bullying, and especially cut out the misogynistic abuse.
To a standing ovation, he added: "Cut out the personal abuse, cut out the cyber bullying, and especially cut out the misogynistic abuse.
"Let's get on with bringing real values back into politics".
"Let's get on with bringing real values back into politics."
'Kinder politics'
'Open debate'
Labour's new leader began by saying it was a "huge honour and a privilege" to be leader and joked about some of the negative press coverage he had received since his election.
He said Labour would start by winning elections in Wales, Scotland, London and across England, and paid tribute to his predecessor Ed Miliband and former deputy leader Harriet Harman.
He also repeated his challenge to David Cameron over Ali Mohammed al-Nimr, a protester who faces the death penalty in Saudi Arabia for a crime he allegedly committed aged 17.
And he said Labour would look to expand statutory maternity and paternity pay to self-employed people.
Earlier, long queues formed to get into his speech.
In a YouTube video posted before his speech, Mr Corbyn said Labour's policy-making had to change, with no more "all-seeing, all-knowing" leaders imposing policies top-down, promising to end the housing crisis and help refugees.
The left-wing Islington North MP swept to victory in Labour's leadership contest, having joined it as a 200-1 outsider.
In his first weeks as leader, he has promised a "new politics", consulting party members on forming policy and has attempted to make Prime Minister's Questions less "theatrical" with a new approach.
But he has also faced attacks from some Labour figures, with a number of MPs refusing to serve in his shadow cabinet.
Mr Corbyn was also criticised for not singing the national anthem during a Battle of Britain memorial, and has refused to say whether he will kneel to the Queen when he becomes a member of the Privy Council.
Shadow education secretary Lucy Powell told BBC Radio 4's Today programme Mr Corbyn wanted to show that "people have nothing to fear from him" as he shares their values, which he will set out in his speech.
"I know that is a bit boring for people because we always want to see the rabbit out of the hat on the new policies, but that is exactly the kind of new approach to politics that I welcome," she said.
"He is not trying to go off into a room on his own and develop policy with his advisors - he wants an open and democratic and outward-looking approach to policy-making, so that's why he's not got fully formed policies that he is going to be announcing today."
Mr Corbyn's speech comes after that of shadow chancellor John McDonnell, who told the conference on Monday that Labour could reject austerity while still "living within our means".
Mr McDonnell also announced that he had asked ex-civil servant Lord Kerslake to review how the Treasury works.
Lord Kerslake told the BBC it was right to review the Treasury's responsibilities and operations as it "has a huge impact on the economic well-being of this country" and "wields enormous power across government".
Mr Corbyn is expected to address the party conference in Brighton for 45 minutes, saying: "Fair play for all, solidarity and not walking by on the other side of the street when people are in trouble. Respect for other's point of view. It is this sense of fair play, these shared majority British values, that are the fundamental reason why I love this country and its people."
He will add: "It's because I am driven by these British majority values, because I love this country, that I want to rid it of injustice, to make it fairer, more decent, more equal.
"And I want all of our citizens to benefit from prosperity and success."
'Not showbiz'
Although there will be an emphasis on housebuilding and support for the self-employed, the speech is not expected to include specific policy announcements. It will also not include an an apology on behalf of the Labour Party for the Iraq war, which Mr Corbyn has promised.
The BBC's political editor Laura Kuenssberg said that Mr Corbyn, given his many years as an outsider on the political stage, would be seeking to reassure the public about his intentions and to use language and express sentiments that people can identify with.
Unlike the approach taken by his predecessor Ed Miliband, Mr Corbyn's speech is being delivered using an autocue, and will not include reflections on his background or personal life in the speech, or music to introduce him onto the stage.
"It's not going to be showbiz, it's going to be politics," a Labour source said.
His approach of allowing shadow Cabinet members to speak freely on issues where they disagree with him will continue.
His approach of allowing shadow Cabinet members to speak freely on issues where they disagree with him will continue.
"I am not imposing leadership lines. I don't believe anyone has a monopoly on wisdom - we all have ideas and a vision of how things can be better," he said.
"I am not imposing leadership lines. I don't believe anyone has a monopoly on wisdom - we all have ideas and a vision of how things can be better," he said.
"I want open debate, I will listen to everyone, I firmly believe leadership is listening."
"I want open debate, I will listen to everyone, I firmly believe leadership is listening."
The "huge mandate" he has been given as leader is a "mandate for change", he will add. "It was a vote for change in the way we do politics, in the Labour Party and the country."Kinder, more inclusive. Bottom up, not top down."
The "huge mandate" he had been given as leader was a "mandate for change", he said
"It was a vote for change in the way we do politics, in the Labour Party and the country."
