Liam Payne took the top spot followed by band-mates Harry Styles, Niall Horan, Louis Tomlinson and Zayn Malik, reported Daily Telegraph.
Musician Ed Sheeran has been named next on the PeerIndex list with the Prime Minister in seventh place.
All the members of One Direction, except Zayn Malik, boast more than 12 million followers on the micro-blogging site, compared with just 400,000 for Cameron.
Family and friends of the teenage heartthrobs also dominated the top of the list with Louis Tomlinson's girlfriend Eleanor Calder being rated as more influential than the Labour leader or the Chancellor George Osborne.
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