In a speech later, the prime minister will talk of the need for a social fightback to confront a “slow-motion moral collapse” in society.
Meanwhile, Labour leader Ed Miliband will renew calls for a public inquiry into the disorder across England.
He is expected to accuse ministers of finger pointing against the police.
Mr Cameron will describe the rioting, looting and arson that spread from London to parts of the East and West Midlands, Merseyside, Bristol, Manchester and Gloucester as “a wake-up call for our country”.
“Social problems that have been festering for decades have exploded in our face,” he will say.
“Now, just as people wanted criminals robustly confronted on our street, so they want to see these problems taken on and defeated.