They will face their provincial rivals after Leinster defeated Glasgow Warriors 17-15 at the same venue on Saturday.
Gregor Townsend's side put up a valiant effort against the reigning European champions scoring two tries to one, but a first first-half touchdown from Jamie Heaslip proved to be enough to edge Leinster to a narrow victory.
Ulster earned their place in the final following their match with the Scarlets on Friday, with an impressive 27-17 victory at Ravenhill.
Speaking after the game, Coach Mark Anscombe admitted the closing 20 minutes were a reminder not to take the foot off the pedal in their upcoming clash on Saturday 25 May.
"You can't afford to relax," he said. "You've gotta play for 80 minutes, and we well know that we have to do that in two weeks time."
Following Friday's game, man of the match Rory Best was optimistic ahead of the clash despite not getting a home final.
"You have to go to where you can get the crowds in, we've known about it for a while that if we got to the final it wouldn't be in our home, but the big thing for us is it was on the island. So it's only a short trip down the road to Dublin," he said.
Best said playing Leinster in their home ground may prove difficult but the Ulster were no strangers to the venue.
"We'll have a lot of support come down the motorway regardless of who we're playing," he added.
"Throughout the season, through 21 rounds, we've earned the right to be number one, and we'll take that confidence through to the final."