Allan Ramsay also wants them to be banned from driving and have their mobiles confiscated.
He was knocked off his bike in Bolton last year by a driver on the phone and he says the drastic measures are needed.
Allan, 60, said: "Drivers like that are potentially as dangerous as someone who's got a gun or a knife. It might not be their intention to kill someone, but they could do. There needs to be a proper deterrent."
Grandad Allan, who lives in Radcliffe with his wife Eileen, has been competing in cycle races since his early 20s. Visit http://petitions.number10.gov.uk/mobilemenaceban
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pauli73, Manchester (16/07/2009 at 12:30)