Leo Varadkar is expected to meet the pontiff at Dublin Castle on Saturday.
He is Ireland's first openly-gay leader.
He told Irish national broadcaster RTE: "There are a lot of people who are devout Catholics who very much believe in their Catholic faith but feel excluded from the church because of the treatment of women and the rules around how women can participate in the church, because they are from an LGBT background or because they are divorced, for example.
"I know that really hurts for them because there is a conflict between who they are and the rules of the faith which they follow and certainly if I have the opportunity to speak to Pope Francis I will want to relay that message."
Mr Varadkar said he wanted to do so in a fashion that respects freedom of religion in Ireland.
He added: "It is not the role of the head of Government to ask any church or any religious group, Catholic, Christian or non-Christian, to change its faith."
Stay up to date with the latest news stories from a Christian perspective. Sign up to our daily newsletter and receive more stories like this straight to your inbox every morning.
