Gerard Larcher, who is visiting Tehran, expressed that French President Francois Hollande hopes to be able to welcome Iranian counterpart on January 27 and 28.
He called the meeting the beginning of stronger ties between Iran and France.
Rouhani is also due to visit Italy on his first European tour on January 25.
Iran's president was due to travel to France and Italy in late November, however, he put off the trip following the November 13 attacks in Paris which left 130 people dead.