A senior Trump administration source denied that the subject came up when Trump and May spoke in the aftermath of the British general election.
Of 27 Bills and draft bills unveiled in Mrs May's first Queen's Speech, eight are devoted to the complex process of leaving the EU, including a Repeal Bill to overturn the 1972 Act which took Britain into the European Economic Community, and separate Bills on customs, trade, immigration, fisheries, agriculture, nuclear safeguards and the global sanctions regime.
A Downing Street spokesman said: "An invitation has been extended and accepted".
The Queen's Speech saw the 91-year-old monarch announce the government's legislative programme for the next two years at the State Opening of Parliament.
Speculation that Donald Trump's state visit to the United Kingdom may be cancelled was fuelled by its absence from the Queen's nine-minute address.
And she apologised in the House of Commons for the "failure" of both national and local government to provide survivors of the west London blaze with the support they needed. The main non-Brexit bills include a domestic violence and abuse bill and a data protection bill.
Bihar governor Ram Nath Kovind is BJP's presidential nominee
Ahead of the July 17 presidential election, the BJP has been holding consultations with the Opposition parties on the issue. This stand could spoil chances of the likes of MS Swaminathan, as suggested by the Shiv Sena, and "Metro Man" E Sreedharan.
President Trump won't cut off work permits for Dreamers, reversing campaign promise
DHS Secretary John Kelly explained the move saying "there is no credible path forward to litigate the now enjoined policy". The protection program for parents, like the one for young immigrants, was created with a policy memo, not by legislation.
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The result is an outstanding landmark in the human history of communication and physical science , and reaches far and more. Now, a new study shows a successful transmission of the entangled photons between suborbital space and Earth.
And former Labour adviser Damian McBride tweeted: "Just looked at 2010, 2012, 2014, 2015, 2016 Queen's Speeches; no bowing from either leader".
The Tories will now have to rely on the DUP's 10 MPs to form a a minority government.
The speech did not make reference to pledges in the manifesto to tax the elderly more heavily for their own care and cut back on free lunches for schoolchildren, policies slammed by opposition parties and the public.
Prince Philip had been due to accompany the monarch to the state opening of parliament on Wednesday as well as day two of the Royal Ascot horse races, but he was taken to hospital as a "precautionary measure" for treatment of an infection.
"Is the queen trying to tell us something about Brexit with her hat?" the Daily Telegraph asked. "We will work hard every day to gain the trust and confidence of the British people, making their priorities our priorities", May said in the lead up to the Queen's Speech.