Dismissing concerns over Mr Trump’s fitness to hold office, the Prime Minister also confirmed that he will be coming to the UK, though refused to be drawn on details of any trip.
Mr Trump’s fitness for office has been the subject of debate after Michael Wolff’s explosive book ‘Fire And Fury: Inside The Trump White House’ included questions over his mental capacity.
In retaliation, Mr Trump branded Wolff a “fraud” and in a series of tweets proclaimed himself a “very stable genius”.
Appearing on BBC1’s The Andrew Marr Show, Mrs May was asked whether concerns about his mental state were serious, to which she replied: “No.
“As I say, when I deal with President Trump what I see is somebody who is committed to ensuring that he is taking decisions in the best interests of the United States.”
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On the issue of a visit by the president to the UK, she said: “He will be coming to this country.”
But the PM – who controversially extended the offer of a state visit to Mr Trump when she became the first world leader to meet him in the White House following his inauguration last year – would not confirm what form the visit would take.
Earlier, Mr Trump hit back at the claims in Mr Wolff’s book in a series of tweets, saying: “Actually, throughout my life, my two greatest assets have been mental stability and being, like, really smart.
“I went from very successful businessman, to top T.V. Star to President of the United States (on my first try).
“I think that would qualify as not smart, but genius….and a very stable genius at that!”