The party also sent a letter on the same issue to Juozas Bernatonis, chairman of the parliamentary Committee on Foreign Affairs.
"Jerusalem is the historic capital of the Jewish state, therefore, moving diplomatic representation there would restore historic justice. Israel is the only democratic state in the region and a loyal ally of Western countries," Laurynas Kasčiūnas, a member of the TS-LKD political group in the Seimas said in a statement.
The United States opened its embassy in Jerusalem on Monday, six months after American President Donald Trump recognized the city as Israel's capital. The move sparked protests near the border of the Gaza Strip and Israel, costing lives of 58 people.
Many in the international community believe such a decision would damage the Israeli-Palestinian peace talks.