First mentioned in 1202 under the name Grantie, the village of Grancy still has some old buildings, including the castle mentioned in 1351.
In the Middle Ages, the village was divided into small fiefdoms belonging to various families. One part fell under the jurisdiction of the Barony of Cossonay and another belonged to the Château de Morges.
To the west of the village was an important Roman settlement at a place called ‘En Allaz’. The discoveries made at this site are now on display at the Cantonal Museum. A few steps from the ruins is a Helvetic-Burgundian cemetery. Among the famous people from Grancy is Doctor Tissot, born in 1728, a pioneer of smallpox vaccination and a doctor to the poor, but whom the rich of Europe came to consult. Grancy is also the birthplace of Landammann Auguste Pidou. He was one of the first magistrates of the canton of Vaud from 1803 to 1821, when he ended his honourable career after serving as president of the Grand Council.