Some on the list are now dead but other figures named are still alive, although no longer active in the Westminster scene, Mann said.
"There are at least five paedophile rings which involved MPs," he said.
"Each of them involved at least one MP, some involved more, and these were groups of people who knew about the activities of one another. In some cases I believe they committed abuse together."
Fourteen of those identified by Mann were Conservative politicians, five were Labour and three were from other parties. Thirteen former ministers were among the list, Mann said.
He insisted he would not use parliamentary privilege to name the politicians on the list because he believes they should be fully and properly investigated by the police.
"What the police are doing now is what should have taken place a long time ago. Three of these figures were highly influential."
The MP, who has been instrumental in securing an inquiry into the alleged establishment paedophile rings, distilled the list of names from hundreds of pieces of information handed to him by the public.
"I think the 22 names are all worthy of investigation by the police," Mann said. "In my opinion the evidence against approximately half of them is very compelling. It would be inconceivable in some cases that they are not now interviewed by police about these allegations. Some of the evidence is incredibly strong.
"I would be quite certain there are other names I am not aware of." He said some of his sources were highly placed officials within institutions. "This is not Mickey Mouse stuff."
Mann handed his dossier to detectives from Operation Trinity, the Metropolitan Police's investigation into alleged abuse in children's homes in Lambeth, south London.
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A range of other inquiries have also begun including Operation Midland, looking at allegations of child sex abuse focusing on Westminster.
It comes after Scotland Yard last week said it was investigating the alleged paedophile murders of three boys in the late '70s and early '80s.
Operation Midland centres on claims of paedophile parties at Dolphin Square, an exclusive block of flats in Pimlico, central London, which has long been popular with MPs because of its proximity to the Houses of Parliament.
The officer leading the inquiry said people who lived in or visited Dolphin Square at the time "will have seen or heard something that they only understand the significance of now".
A witness who has played a critical role in the inquiry so far, known only as "Nick", is understood to have told detectives he saw a Conservative MP strangle a 12-year-old boy to death at an orgy in about 1980. He claims a second boy was killed in a brutal physical attack and a third was run down by a car driven by one of the perpetrators, which he took to be a warning not to speak of the abuse.
Detectives have described Nick's wider evidence about the paedophile ring as "credible and true".
The police's decision to go public with the claims is likely to mean they have been able to get some corroborating evidence around them.
Dossier of abuse
*Labour MP John Mann has given a dossier on alleged abuse to police.
*Document names 22 politicians, including three serving MPs.
*It also names three members of House of Lords linked to historic abuse.
*Mann says "at least five paedophile rings ... involved MPs".
*Dossier also includes names of 13 ex-ministers, including at least two claimed to have gone to "abuse parties" in Pimlico.
Source: Daily Mail
- additional reporting Independent