French President Francois Hollande says the terrorists who beheaded a French citizen in Algeria are a global threat.

Hollande addressed world leaders at the United Nations Wednesday shortly after learning of the man's death.

A video released by a U.S. terrorism watchdog showed Algerian extremists allied with the Islamic State group decapitating a hostage after France ignored their demand to stop airstrikes in Iraq. The group calls itself Jund al-Khilafah.

"I am speaking to you with a particularly high level of emotion," Hollande said.

"This particular group ... they don't strike only those who don't think like they do, they also strike Muslims ... they rape, they kill," Hollande added. "It is for this reason that the fight the international community needs to wage versus terrorism knows no borders."