The way broadband speeds are advertised is misleading and should be changed, a cross-party group of 50 MPs has said.
Internet providers are not in breach of current guidelines, even if only 10% of customers can obtain their fastest advertised speed, the group said.
The British Infrastructure Group is calling for greater powers to enable consumers to hold providers to account.
The Advertising Standards Authority said it was aware of concerns about speeds and would consider further work.
"Our position on broadband speed claims in ads is based on extensive work undertaken in recent years, including a full public consultation on new guidance," it said in a statement.
The report from the infrastructure group, which was set up by former Conservative Party chairman Grant Shapps, said consumers had "very few rights and protections" they can turn to if they are "poorly treated" by their internet service provider.
"Consumers must be given the power to hold their internet service provider to account when they let them down or outright mislead them into signing a contract that makes promises that bear no resemblance to the later reality," its report said.
"BIG will therefore be campaigning for mandatory refunds for anyone who has been mis-sold a broadband contract.
"Consumers also need the power to leave contracts if they are found to have been misled."
The group highlighted that there was no minimum level of compensation if customers received a poor service.
"Other industries, such as airlines and banks, are forced to compensate customers for errors, delays and poor practice, so why not broadband?" the report said.
Mr Shapps told BBC Radio 5 live: "You might sign up for 24 megabits of download speed, find that you don't get anywhere near that, you can't get any compensation, you can't get out of the contract, and it seems to us this is completely the wrong way round."
Ofcom has asked fixed-line internet service providers to sign up to a voluntary code of practice, which requires them to provide consumers with more information and advice on maximum broadband speeds.
But the infrastructure group said regulators needed greater powers to step in and "take real robust action" against providers found to be misleading customers.