The airline was founded on 19 October 1995 in Bassersdorf, Switzerland, with just one aircraft, a McDonnell Douglas MD-83. The company's name is derived from the Swiss unofficial national flower, the Edelweiss, which is also painted on its aircraft.

The fleet was subsequently expanded and renewed. In 1998, new Airbus A320-200s were introduced to replace the MD-83s, and in 1999 long-haul flights were commenced using the Airbus A330-200.

For seven consecutive years between 2001 and 2008, Edelweiss Air received the golden Travelstar Award for its achievements. Its current fleet stands at; a long-haul fleet consisting of 4 x Airbus A340-313 and 10 x Airbus A320 for short- and medium-haul routes. The Aircraft painted was delivered in 2017, and the aircraft's name is Säntis.

For those who like to fly the default A320 Neo model, I have also uploaded a version for you. Unpack and enjoy.

Apologies to all who downloaded the Edelweiss A32NX FBW version; I incorrectly uploaded the wrong file. I have now rectified it, and the correct file has now been uploaded. Thank you, scandinavian941, for the heads-up.