James Dalton, Association of British Insurers (ABI) head of motor insurance, said: "A car is potentially a lethal weapon."
He added that "radical action" is needed to "reduce the tragic waste of young lives on our roads, especially among the 17-24 age group".
An ABI spokesman told The Daily Telegraph: "Any restrictions to limit the number of passengers young newly qualified young drivers can carry for an initial period after passing their test would be a step in the right direction."
Insurers are making money from drivers who break down by referring them to a range of emergency services.
For example, credit hire firms pay tip-off fees of around £300 for details about a driver involved in an accident so that they can arrange a courtesy car. The bill is then passed on to the at-fault motorist's insurer for the cost.
Evidence to the Office of Fair Trading suggests credit hire firms charge between £1,200 and £1,500 for the service, compared with £400 to £500 if the insurer organised the vehicle themselves.