The Northern Ireland Ambulance Service (NIAS) said they despatched three rapid response paramedics, seven emergency crews, one HART Crew, an ambulance officer and an ambulance doctor to the incident on Saturday night.
Following assessment and initial treatment at the scene, two patients were taken to Craigavon Area Hospital and another to Royal Victoria Hospital in Belfast, they added.
The Armagh Road in Moy is currently closed and diversions are in place at the Lisbofin Road and College Lands Road.
Drivers have been asked to seek an alternative route as the road is expected to be closed for a significant period of time.