'The Shadow Man', and a Christmas poem called 'Noel', were found at Our Lady's School in Oxfordshire.
Tolkien was an English writer, poet, philologist, and university professor who is best known as the author of the classic high-fantasy works The Hobbit, The Lord of the Rings and The Silmarillion.
It is thought Tolkien got to know the school while he was a professor of Anglo-Saxon at Oxford University, the BBC reported.
The Shadow Man is an earlier version of a poem eventually published in 1962 in Tolkien's Adventures of Tom Bombadil collection.
Also Read
The existence of the poems came to light after American Tolkien scholar Wayne G. Hammond got in touch with the school, the report said.
He knew from notes made by Tolkien that two of his poems appeared in a magazine he called The Abingdon Chronicle.
This was actually the 1936 annual of Our Lady's School, which was then run by the Sisters of Mercy.
"Then, while preparing for an event for former pupils of the school, we uncovered our own copy and I saw the two poems Mr Hammond had been looking for."
The school hopes to put the annual on display at a future exhibition.
Tolkien died in 1973 at the age of 81.