Boris Johnson has accused MPs “who think they can block Brexit” of a “terrible collaboration” with the EU.
The prime minister said the EU had become less willing to compromise on a new deal with the UK because of the opposition to leaving in Parliament.
He said this increased the likelihood of the UK being “forced to leave with a no-deal” in October.
But some MPs said his claim they were collaborating with the EU was a “wicked lie” and a “big deflection exercise”.
The EU has said the agreement struck by Theresa May is the only deal possible.
Speaking during a Facebook event hosted at Downing Street, Mr Johnson said he wanted to leave with a deal but “we need our European friends to compromise”.
“There’s a terrible kind of collaboration as it were, going on between people who think they can block Brexit in Parliament and our European friends,” he added.
“The more they think there’s a chance that Brexit can be blocked in Parliament, the more adamant they are in sticking to their position.”
His comments come after former Chancellor Philip Hammond said the PM’s negotiating stance increased the chance of a no-deal before the latest Brexit deadline of 31 October.
Mr Hammond told BBC Radio 4’s Today programme a no-deal exit would be “just as much a betrayal of the referendum result as not leaving at all”.
A No 10 source accused Mr Hammond of undermining the UK’s negotiating stance, and said he “did everything he could” to block preparations for leaving whilst he was in office.
The former chancellor rejected this suggestion in a tweet, saying he wanted to deliver Brexit “and voted to do so three times”.
Labour MP Mary Creagh said Mr Johnson’s accusation that MPs were collaborating with the European Union was a “wicked lie”.
“MPs trying to stop his catastrophic no-deal Brexit are true patriots,” she tweeted.
Liberal Democrat MP Chuka Umunna said Mr Johnson’s claim was a “big deflection exercise to divert attention from the damage his Brexit policy is already doing”.
He said: “This is fatuous nonsense from a prime minister flailing about trying to find people to blame for the almighty mess he and his Vote Leave government has created.”
Boris Johnson didn’t name Philip Hammond when he said there was “collaboration” between MPs trying to block Brexit and the EU – a stark and controversial word to use.
The prime minister says EU leaders need to believe Parliament cannot thwart a no-deal Brexit, and only then will they bend.
No 10 knows Mr Hammond is not the only senior Tory resolved to try to stop a no-deal departure if that is what Boris Johnson plumps for. Other ex-cabinet ministers intend to join the ranks of Tory backbenchers and opposition MPs determined to act.
But with only 22 parliamentary sitting days until the UK is set to leave and with no obvious single mechanism for MPs to stop a no deal at the end of October, it might be very hard for a cross-party alliance to park tribal loyalty, mobilise and block No 10 before the Brexit clock expires.
Mr Johnson has said he wants to leave the EU with a deal, but the UK must leave “do or die” by the end of October.
He wants the EU to ditch the Irish border backstop plan from the deal negotiated by Mrs May, which was rejected three times by Parliament.
But the EU has continued to insist the policy – intended to guarantee there will not be a hard Irish border after Brexit – must remain and cannot be changed.
Many of those who voted against the deal had concerns over the backstop, which if implemented, would see Northern Ireland staying aligned to some rules of the EU single market.
It would also see the UK stay in a single customs territory with the EU, and align with current and future EU rules on competition and state aid.
These arrangements would apply unless and until both the EU and UK agreed they were no longer necessary.
Mr Hammond said the prime minister’s demand for the backstop to be entirely removed from the deal meant a no-deal was inevitable on the current deadline.
He said that agreeing to changes now would “fragment” the EU, adding: “they are not going to take that risk”.
“Pivoting to say the backstop has to go in its entirety – a huge chunk of the withdrawal agreement just scrapped – is effectively a wrecking tactic,” he told Today.
On Thursday Downing Street said it expects a group of MPs to try to block a no-deal Brexit by attempting to pass legislation when Parliament returns next month.
A No 10 source said they expected the challenge to come in the second week of September, when MPs are are due to debate a report on Northern Ireland.
The source assumes the EU will wait until after that date before engaging in further negotiations.