The Diamond Aircraft DA62 aircraft crashed three miles south of the worldwide airport according to the Dubai media office.
The aircraft, which was involved in upgrading a runway at the major transport hub, crashed on Thursday night (local time) and halted traffic at the world's busiest airport for worldwide travel for almost an hour.
It is not yet clear whether the aircraft was taking off or landing when the accident happened.
The tail number was registered to Flight Calibration Services of Shoreham, West Sussex.
Dubai International Airport was closed from 7.36pm until 8.22pm after the incident with air traffic forced to circle, and some flights diverted to the nearby Maktoum International Airport due to the Plane crash near Dubai airport.
The UAE's General Civil Aviation Authority said all four people on board, three British and one South African, were killed in the crash.
The crash caused delays at the airport, the emirate's government media office said, however operations are now believed to be back on track.
Honeywell said in a statement posted by the Dubai Media Office on Twitter the aircraft was operated by a third party on its behalf.
Dubai International has one of the safest records of any major airport.
All 300 passengers and crew survived, with 30 taken to hospital mostly with minor injuries or for precautionary check-ups.
The DA42, which has an all-carbon airframe, has a maximum speed of 226mph, can operate at a maximum altitude of 18,000ft and weighs 1,410kg, according to the Diamond website.
One of those who died worked for United Kingdom firm Honeywell.
The victims include three United Kingdom nationals and a South African, GCAA said in a statement. A Honeywell employee was among the four victims. It was owned by the American conglomerate, Honeywell.
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