The bar and restaurant operator, which was founded almost 20 years ago, will get its wines from Ayrshire-based importer and distributor Alliance Wine.
Alliance described the contract win as a "major coup" and said it was expected to be worth in excess of 1 million over three years. The Beith-based firm has had to invest in a new vehicle fleet to facilitate deliveries.
Alliance, which runs its own production company in Adelaide, has also created a one-off brand - the Pimpernel ros wine from Coonawarra, Australia - for Tigerlily.
Giles Cooke, buying and marketing director at Alliance, said: "Montpeliers is one of the big names in the licensed trade in Scotland, with a superb portfolio of bars and restaurants and a huge customer base who love their wine."