The former Beatles rocker recently married his American bride in London and there was lots of interest in their big day as he walked down the aisle for the third time.
Writing on his website, he said: 'Nancy and I want to thank everybody for the wonderful greetings and messages of goodwill that we received.
'We had a really great day with family and friends; it was relaxed, fun, emotional, heartfelt and a total pleasure for the two of us and everyone involved.'
He also cleared up some reports about his big day and revealed to fans what really happened.
McCartney said: 'You may have read, in the media, some of the details about our happy day but, as not all of what was reported was totally true, here are a couple of corrections for those of you who like to know the truth.'
He added: 'It was said that my brother, Mike, was my best man. In fact, it was my lovely son, James, who did me proud.
'It was also reported that I sang Let It Be and Let Me Roll It at the reception but, in actual fact, that's not true and I think the reporters may have got confused by hearing a few of my other songs being played by our DJ for the night, Mark Ronson, who, by the way, did a sensational job, keeping us all bopping till the early hours of the morning.
'But even though they got one or two things wrong, what they did get right was that Nancy and I, and all our lovely guests, had an unbelievably great day and send our love to all of you.'