The new legislation will include introducing banning orders for extremist organizations who seek to undermine democracy or use hate speech in public places, new extremism disruption orders to restrict people who seek to radicalize young people and powers to close premises where extremists seek to influence others.
It also includes strengthening the powers of the Charity Commission to root out charities who misappropriate funds towards extremism and terrorism, further immigration restrictions on extremists and a strengthened role for Ofcom to take action against channels which broadcast extremist content.
"For too long, we have been a passively tolerant society, saying to our citizens: as long as you obey the law, we will leave you alone. It's often meant we have stood neutral between different values. And that's helped foster a narrative of extremism and grievance.
"This government will conclusively turn the page on this failed approach.
"It means confronting head-on the poisonous Islamist extremist ideology. Whether they are violent in their means or not, we must make it impossible for the extremists to succeed.
"That means actively promoting certain values. Freedom of speech. Freedom of worship. Democracy. The rule of law. Equal rights regardless of race, gender or sexuality.
"We must say to our citizens: this is what defines us as a society. To belong here is to believe in these things. And it means confronting head-on the poisonous Islamist extremist ideology. Whether they are violent in their means or not, we must make it impossible for the extremists to succeed," Cameron said.
The details of Cameron's counter-extremism bill will be included in the Queen's Speech later in May.