World number two Federer entered the Australian Open final for a record seventh after his South Korean opponent Hyeon Chung retired hurt in the second set of their semi-final clash.
If Federer wins the finals, it would be his sixth Australian Open title.
Meanwhile, Cilic, 29, will be aiming his second major title here.
Cilic thrashed Edmund 6-2, 7-6 (7-4), 6-2 to become the first Croat to reach an Australian Open final. (ANI)