“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 the individuals identified by Mr Mann were Conservative politicians, five were Labour and three were from other parties.
Thirteen former ministers were among the list, Mr Mann said.
He insisted he would not be using parliamentary privilege to name the politicians who feature 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,” he said.
“Three of these figures were highly influential.”
The MP, who has played an instrumental role 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 members of the public.
“I think the 22 names are all worthy of investigation by the police,” Mr Mann told The Telegraph.
“In my opinion the evidence against approximately half of them is very compelling.
Police appeal over Westminster paedophile ring
“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.”
Mr Mann said some of his sources were highly-placed officials within institutions.
“This is not Mickey Mouse stuff,” he said.
Mr 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.
A range of other inquiries have also been launched including Operation Midland, looking at allegations of child sex abuse focusing on Westminster.
Mr Mann said he was concerned that police were missing the significance of some evidence coming forward from his office and from other sources because there is no overarching police inquiry into the claims.
“My concern is that there are so many different police investigations into this, in London and in other parts of the country,” said the MP.
“They are not all talking to one another.
“Operation Trinity was not aware of quite a lot of the names that I know Operation Midland is looking at.”
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 senior officer leading the inquiry said people who lived 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 around 1980.
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 secure some corroborating evidence surrounding Nick’s claims.
But their appeal for other victims to come forward, as well as other potential witnesses, means detectives are likely to need further first-hand testimony before moving to interview public figures