Lennon's eldest son bought the lyrics at an auction of memorabilia at Sotheby's more than 10 years ago, and he has not disclosed how much he paid for the item, but hinted that he could write some music to the words in the future.
"I don't believe the lyrics have been used anywhere," the BBC quoted him as saying. "If the time was right, if it felt right, then I would consider looking at the lyrics and maybe trying to work with them and write something. But obviously only in honour of Dad. I guess in some respect it would be like coming home," he said.
The unseen lyrics are as follows:
Little girl I've come to stay,
And this time I just have to say,
I love you.
If she turns you down and you're rejected,
Try again the best you can,
Call to see her when you're least expected,
Tell her now she'll understand.
The lyrics appear to refer to the romantic pursuit of a woman and experts say they might have been written in 1966, the year Lennon first met Yoko Ono.
"When the lyrics came up for auction over ten years ago, the auctioneers Sotheby's estimated they were written in 1966," Beatles Story curator Ann Darby said.
"This seems to be based on the fact that some of the lyrics are written on a note sent to George Harrison by some Japanese fans. The Beatles played in Japan that year but this could of course be a coincidence," she added.
A home studio built at his home in Weybridge meant he often recorded demos and song fragments, and many have been uncovered over the years, but there is no evidence he ever set the unpublished lyrics to music, a spokesman for the exhibition said.