Onur Air was established on 14 April 1992 and started revenue operations using a wet-leased Airbus A320 with a flight to Ercan in North Cyprus on 14 May of that year. Over the next years, the Onurair fleet grew, so that by the end of 1995, it included nine aircraft. In 1996, Ten Tour acquired the airline. Due to a recession,[specify] Onur Air had to reduce the number of the planes in its fleet to 13 in 1998, and then to nine in 1999. But once again, the fleet grew rapidly reaching the present number of 31.
On June 17, 2003, Onur Air Flight 2263, an MD-88 (registration TC-ONP) overshot the runway at Groningen Airport Eelde following an aborted take-off. There were no injuries, but the airline was accused of security breaches.
On May 12, 2005, Onur Air was denied access to Dutch airspace for a month. Several incidents were the cause of the suspension of the airline. Negotiations took place between the Dutch authorities and Onur Air and on May 24, 2005 Onur Air had permission to fly from and to the Netherlands again.
On September 15, 2006, the pilot of an Onur Air charter flight from Antalya Airport to Bristol Airport scared his passengers prior to take-off when he refused to fly the aircraft, claiming it unsafe.
On August 20, 2011, an Onur Air pilot forgot to contact Munich Air Traffic Control and engaged the quick reaction air defence of both Germany and Austria to send four Eurofighter Typhoon to intercept the company's A321.
On September 26, 2013, an Airbus A321 performing flight from Izmir to Deauville (France) with 220 people on board, was on a visual approach to Deauville's runway 12. About 3nm before the threshold of the runway, over the waters of the English channel, the aircraft descended to 528 feet MSL, 49 feet above runway level, before the crew in view of rising terrain reacted and climbed the aircraft to safety.