Kidman begged Midler to take to the stage, because the track is her all-time favourite, according to reports.
A source tells British newspaper The Sun, "It is Nicole and Keith's special song. Bette and Nicole are very close. They were both born in Hawaii, so they have a lot in common."
The couple are due to marry in Sydney, Australia on 25 June (06).
'Wind Beneath My Wings' by Bette Midler