Trump, during an interview with Fox News, said people had noticed how well he and the Queen had connected.
He said: The meeting with the Queen was incredible. I think I can say I really got to know her because I sat with her many times and we had automatic chemistry, you will understand that feeling. Its a good feeling. But shes a spectacular woman.
When asked by the broadcasters Laura Ingraham if he fist-bumped the Queen, Trump said: I did not, but I had a great relationship, we had a really great time.
There are those that say they have never seen the Queen have a better time, a more animated time. We had a period we were talking solid straight, I didnt even know who the other people at the table were, never spoke to them. We just had a great time together.
Trump, when asked if he would keep the conversation going, added: Yes I am, she is a spectacular woman, an incredible woman.
The controversial billionaire-turned-politician was feted with a ceremonial welcome and a grand state banquet at Buckingham Palace during his stay in London this week and sat next to the Queen at the D-day commemorations in Portsmouth on Wednesday.