Johnson, who is campaigning before a general election on December 12, had asked Trump not to intervene in the campaign.
In his first press conference on Tuesday, the notoriously unpredictable USA leader tried to avoid controversy in repeated questions about British politics.
"As chancellor, I want to ensure Government has sound finances, but I want more than that".
The Labour leader demanded that the UK-US talks must cease until Mr Trump amends negotiating objectives to exclude pharmaceuticals, and accepts the role of the UK's National Institute for Health and Care Excellence in setting cost-effectiveness of NHS drugs.
Corbyn dismissed Trump's assurances and referred to a remark made by Trump in June, when he said everything was on the table in trade talks with Britain. Johnson has denied the allegations.
Donald Trump has slammed the NHS, saying he would not want it even if it was 'handed to us on a silver platter'.
Johnson is set to host Trump and other North Atlantic Treaty Organisation leaders at a reception in London later Tuesday.
However, in recent times the alliance has come under some pressure with Trump insisting member-countries pitch in more funds and French President Emmanuel Macron recently describing the alliance as suffering from brain death.
The Conservative Party refused to comment on the incident.
The Prime Minister responded: "If you let me answer the question, there are plenty of areas in which we can do a free trade deal with the US".
The Five Eyes thing is a shared worldwide intelligence agency in which Australia, Canada, New Zealand, the United States and the UK work together to pool various surveillance resources and, if you believe Edward Snowden, evade the laws of its base countries in doing so.
It was reignited during the election campaign after the Chief Rabbi, Ephraim Mirvis, claimed "a new poison - sanctioned from the very top - had taken root" in Labour.
Jeremy Corbyn has said he is trying to work out the ownership of the Prime Minister's country residence Chequers after suggesting he would give it up if he wins next week's General Election.
However Mr Corbyn's get together is up two factors to 34 per cent because the Tory lead shrunk to single figures.
Corbyn boycotted a royal dinner during Trump's state visit to Britain but is due to attend the palace reception hosted by Queen Elizabeth II.