Puducherry and its outlying regions of Karaikal, Mahe and Yanam were former French colonies.
There are an estimated5,000 French voters residing in the Union Territory.
Sources said voting took place at boothsset up on the premises of the French Consulate and also at the Lycee Francais (a French school) here.
Voters were let into the booths on production of electoral cards, they said.