Macron tweeted Tuesday that the crash took place in the Savoie department. One person was injured in the incident and is "fighting for their life", CNN reported.
Three of the victims were members of the French Air Rescue and two were from the CRS Alps, a mountain police unit that provides medical and rescue services.
Macron said that the French nation would support the "families, friends and colleagues of these French heroes."
Pascal Bolot, a Savoie official, said at a news conference Tuesday night that the pilot of the crash was being evacuated in "difficult condition."
An investigation is ongoing.