He denied the relationship had been tainted after the US president accused British intelligence from aiding a Barack Obama by hacking Donald Trump’s phones.
Foreign Secretary Boris Johnson said the allegation had as much impact as a “gnat against a rhinoceros or elephant”.
Mr Johnson was put on the spot by MPs in the House of Commons who repeatedly questioned whether the partnership between the two states had been damaged.
The damage done by such remarks can, I think, be likened to that of a gnat against a rhinoceros or an elephant
Mr Johnson said Donald Trump’s allegation had not been taken seriously and “should be ignored”.
He said: “The damage done by such remarks can, I think, be likened to that of a gnat against a rhinoceros or an elephant. It is not something which will make any difference to a fundamental relationship, which is of great importance.
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Boris Johnson laughed off claims the 'Special Relationship' between the UK and USA
“And as to the assertion that there was some sort of collusion by GCHQ to bug the presidential candidate, I think that has been accurately described as absurd and ridiculous.
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Donald Trump accused GCHQ of tapping his phones during the election
“I believe it is certainly done no lasting damage to our lasting relationship, certainly not to the ‘special relationship’.”
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He added, even outside the European Union, trade would continue to improve between the two states.
Ahead of Theresa May triggering Article 50 tomorrow, starting formal Brexit negotiations, he said: “Last year trade with the United States, exports to the United States, rose by 20 per cent.
Boris Johnson was put on the spot at the House of Commons today
“It is the absolute determination of the new US administration to do a free trade deal that will take those trade figures even further forward.”
Earlier this month White House press secretary Sean Spicer claimed GCHQ, on behalf of then-president Barack Obama, had wiretapped Mr Trump during the run up to last November’s US presidential election.
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Mr Spicer said Mr Obama had tapped Mr Trump but “didn't use the NSA, he didn't use the CIA, he didn't use the FBI and he didn't use the Department of Justice – he used GCHQ”.
He added: “What the heck is GCHQ? That's the initials for the British spying agency. They have 24/7 access to the NSA database."
The White House has since promised not to repeat the accusation, which it said it had seen on Fox News.