Anti-conversion therapy campaigners say banning the practice won't interfere with anyone's right to hold certain religious beliefs.
People who've been subjected to conversion therapy have described the trauma caused by the process.
The practice refers to religious or professional attempts to change someone's sexual orientation or gender identity.
New research by Trinity College, Dublin shows how some gay men were told to marry women and do more 'masculine activities' to 'become heterosexual'.
Campaigners say the right to hold religious beliefs doesn't extend to conversion therapy.