According to the agreement, Lietuvos energijos tiekimas, the country's gas and electricity supplier, is to receive LNG cargo from Total in the third quarter of this year.
The company didn't disclose any details about size and commercial terms of the contract.
The agreement also means Total enters Lithuanian LNG market as a new supplier, said Lietuvos energijos tiekimas.
"Total's LNG cargo will diversify our gas portfolio and will enable us to ensure attractive prices and reliable supply to the customers," Mantas Mikalajūnas, chief executive of Lietuvos energijos tiekimas, was quoted as saying in the company's announcement.
The agreement with Total comes amid Lithuania's efforts to diversify its energy supply sources and enhance energy safety.
Four years ago, Lithuania launched its LNG terminal in Klaipėda Seaport, western Lithuania, to gain access to global LNG market.