Relations between London and Washington have been strained by repeated leaks emanating from the United States of shared material from the British investigation into Monday's suicide bombing at a pop concert, which killed 22 people.
The visit to meet his British counterpart, Foreign Secretary Boris Johnson, will be "an expression of UK-US solidarity following the terrorist attack in Manchester", the Foreign Office said.
During the visit, they will write messages of condolence for the victims of the attack, and "hold talks on a range of foreign policy issues" before delivering short statements to media.
The pair met at the summit of NATO allies in Brussels yesterday.
The British government has voiced its fury at the release in US media of details from the investigation.
Arriving in Brussels, May warned that intelligence sharing with the United States was "built on trust".
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