The Prime Minister's plea came as Nigel Farage unveiled his party's manifesto, or "contract", claiming he would stop illegal migrant boat crossings within 100 days.
Reform UK leader Mr Farage said his aim on July 4 was to create a "bridgehead" and show the "huge gap" between the desires of the public and what the main parties were offering.
But a Conservative Party spokesman said: "A vote for Reform risks delivering an unaccountable Labour majority.
"That would hand Keir Starmer a blank cheque to raise your taxes, take no action on illegal immigration, and even rejoin the EU, with no way to stop him.
"Labour are already planning to lower the voting age to 16, and we can expect votes for migrants, EU citizens, and prisoners to follow.
"So a vote for Reform won't mean five years of Labour, it would mean a generation.
"If you're thinking about voting for Reform, and a generation under Labour scares you, there's only one way to prevent it vote Conservative."
Mr Farage said the country is "broken" because of runaway immigration levels. But he admitted a General Election victory is out of his grasp - for now.
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