Having gone into the break 26-12 up, Montpellier Hérault Rugby put their foot down in the second half to race to the trophy after an incredibly dominant season.
Ulster Rugby skipper Nick Timoney got them off to the perfect start as he crashed over early on.
But Montpellier Hérault Rugby responded minutes later through Gabriel N'Gandebe after great hands down the right.
It wasn't long before the French struck again, this time on the other wing as Donovan Taofifenua touched down.
Ulster hit back though as Cormac Izuchukwu charged through to close the gap to two points.
But again Montpellier increased their lead as captain Billy Vunipola barged over from short range, then Alex Becognee did the same just before the break to put the French side 26-12 up at half time.
A second try from Taofifenua continued their display early in the second half, along with Alex Becognee.
Lenni Nouchi broke through four minutes later as the French side stretched their legs, making it 40-12 and an uphill battle for Ulster Rugby.
Robert Baloucoune sliced through the middle to reduce the deficit for Ulster.
Before Montpellier showed their power with a driving maul line-out finished by Baptiste Erdocio to make it 47-19 at the hour mark.
And the French weren't done as Wilfrid Hounkpatin powered over, with Ulster managing a consolation score through Mike Lowry, before Arthur Vincent put the cherry on top to make it 59-26 at full time.
Scorers:
Montpellier Hérault Rugby: Tries: Gabriel Ngandebe, Donovan Taofifenua (2),Billy Vunipola, Alex Becognee, Lenni Nouchi, Baptiste Erdocio, Wilfrid Hounkpatin, Arthur Vincent. Conversions: Domingo Miotti (5), Leo Coly (3).
Ulster Rugby: Tries: Nick Timoney, Cormac Izuchukwu, Robert Baloucoune, Mile Lowry. Conversions: Nathan Doak (2), Jake Flannery.
Teams
Montpellier Hérault Rugby: 15 Tom Banks, 14 Gabriel N’Gandebe, 13 Arthur Vincent, 12 Auguste Cadot, 11 Donovan Taofifenua, 10 Domingo Miotti, 9 Ali Price, 8 Billy Vunipola (c), 7 Alex Becognee, 6 Lenni Nouchi, 5 Tyler DuGuid, 4 Florian Verhaeghe, 3 Mohamed Haouas, 2 Jordan Uelese, 1 Enzo Forletta. Replacements: 16 Lyam Akrab, 17 Baptiste Erdocio, 18 Wilfrid Hounkpatin, 19 Adam Beard, 20 Marco Tauleigne, 21 Leo Coly, 22 Thomas Darmon, 23 Jon Echegaray.
Ulster Rugby: 15 Mike Lowry, 14 Robert Baloucoune, 13 James Hume, 12 Jude Postlethwaite, 11 Zac Ward, 10 Jack Murphy, 9 Nathan Doak, 8 Juarno Augustus, 7 Nick Timoney (c), 6 Dave McCann, 5 Cormac Izuchukwu, 4 Harry Sheridan, 3 Tom O’Toole, 2 Tom Stewart, 1 Angus Bell. Replacements: 16 James McCormick, 17 Eric O’Sullivan, 18 Scott Wilson, 19 Charlie Irvine, 20 Bryn Ward, 21 Conor McKee, 22 Jake Flannery, 23 Ethan McIlroy.