The air ambulance, which was transporting a patient from Shetland, overshot the runway and came to rest in a patch of grass at about 12:30 p.m. local time, STV reported.
No one was injured.
"An air ambulance plane on a routine non-emergency transfer from Shetland appears to have come off the runway at Aberdeen while taxiing after landing," a spokesman for the ambulance service said. "There were no injuries to anyone on board and the patient has been transferred to hospital."
Airport authorities said they closed traffic at the airport -- suspending a number of flights -- to clear the plane from the runway and investigate.
"An aircraft has overshot the runway on landing. No injuries and we are working to clear the area and return to normal operations," Aberdeen Airport posted on its official Twitter account.