Confirmation of the meeting comes as President Trump is facing increasing pressure over his administration's controversial handling of immigrants on the southern border, which has seen more than 2,000 children forcibly separated from their parents.
Mr Trump was originally set to visit the United Kingdom in January to mark the opening of the new US Embassy in London.
"Meeting Her Majesty is the most important thing, because she's the head of state, and from there on, it'll be what the president wants to do", he said during the interview.
Later, asked if he was happy for the President's July 13 visit to Britain to go ahead, the Highland MP replied: "On the basis of where we are now, it is right the Trump visit is called off".
Since this is not a state visit, the pair don't necessarily have to meet, but according to Sky News the USA ambassador in London said that Trump will be meeting Her Majesty.
"The pictures of children being held in what appeared to be cages are deeply disturbing", May responded.
AP Donald Trump Off to London to meet the Queen
Shadow foreign secretary Emily Thornberry has previously denounced the policy which has seen more than 2,000 children divided from their families in six weeks on the southern U.S. border as "abhorrent and repulsive".
"But we also have some key shared interests with the United States in the security and defense field and on other areas as well".
Mrs May defended Mr Trump's forthcoming visit to the United Kingdom, saying that the Special Relationship means that the United Kingdom can make clear when it disagrees with U.S. policy.
The commander-in-chief has previously been promised a full state visit when Theresa May visited Washington previous year, but officials have previously confirmed Mr Trump would not be taking up the offer this time around.
However, Buckingham Palace have yet to confirm whether it is true.
Britain's longest-serving monarch, who is now 92 years old, has met with nearly all serving US presidents during her reign. His upcoming visit in July is expected to draw protests.
Compulsive video game-playing could be mental health problem
Diagnosis, however, has to be done by health professionals, and requires negative gaming behavior to last for at least 12 months. Gaming disorder rubs shoulders with conditions such as gambling disorder, substance abuse, and addictive hoarding in the ICD .