"The French position is very clear… we do not want Ukraine to enter NATO," Aymeric Chauprade, a member of the right-wing National Front party, said.
Chauprade stressed that the party understood the importance of France maintaining a strong relationship with Russia.
In December 2014, Ukrainian parliament voted to scrap the country's non-aligned status and seek NATO membership. The bill was signed into law by Poroshenko later that month.
According to Poroshenko, the country will decide on NATO membership in a referendum in six years.
In February, Hollande said it would be "undesirable" for France to have Ukraine join NATO. Moscow welcomed this view, calling it "absolutely pragmatic."