Both leaders gave short speeches before dinner began.
He said the "great crusade" of the war sealed the "bond between our nations", and affirmed values "that will unite us long into the future". He said that the so-called "special relationship" between the USA and Britain had helped ensure the "safety and prosperity of both our peoples for decades".
The monarch praised the enduring alliance between the United Kingdom and U.S., as President Trump called Her Majesty "the spirit of dignity, duty, and patriotism that beats proudly in every British heart".
A four-course meal, more than 2,000 pieces of silver-gilt cutlery and a toast to the queen: Donald Trump enjoyed an opulent state banquet hosted by Elizabeth II at Buckingham Palace on Monday. He also took a swipe at the newest royal, Meghan Markle, by calling the Duchess of Sussex "nasty." .
The three-day trip is cast as a chance to celebrate Britain's "special relationship" with the United States, boost trade links and reaffirm security cooperation.
Trump was in the United Kingdom on Monday for the first leg of a trip that will include commemorating the 75th anniversary of D-Day during a ceremony at the Normandy American Cemetery in France.
So far there have been no gaffes by Trump like the one he committed a year ago, when he breached royal protocol by turning his back on the queen and striding in front of her during a visit to Windsor Castle.
The couple then travelled via vehicle to Buckingham Palace for the ceremonial welcome.
The Trumps had lunch with the Queen and were shown around a collection of items with significance for the US.
The president and the first lady paid their respects at the grave of an unknown British warrior who is buried at Westminster Abbey. Ivanka Trump and her husband, Jared Kushner, also came along on the tour.
The British sovereign earlier welcomed Trump and his wife Melania with a military guard of honour on a day filled with ceremony and personal touches. With Trump returning for another visit to London on Monday, the voices of these protests have grown even louder and will continue to follow Trump during his trip.
The POTUS is also set to attend the 75 D-Day anniversary memorial in Portsmouth on Wednesday, marking the largest seaborne invasion in history.
Trump's visit comes amid political turmoil in Britain as May is scheduled to step down Friday after failing to to get an agreement passed to leave the European Union.
It depicts Trump as an angry orange-colored baby in diapers holding a smartphone, presumably tweeting.
Visits by American Presidents always remind us of the close and longstanding friendship between the United Kingdom and the United States, and I am so glad that we have another opportunity to demonstrate the vast importance that both our countries attach to our relationship.
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