The accident happened last night (Wednesday) at Ballacobb near Ballaugh.
The Fire & Rescue Service said the incident involved one car which had rolled onto its roof.
The occupants were free of the car when the fire service arrived.
They were treated at the scene by paramedics before being taken to hospital.
Police closed the road for several hours after the crash which happened at around 20:00.
Budget passes by 21 votes to 10
Don't park at the Bottleneck tomorrow!
Yellow ice warning issued by Met Office
Met Office issues amber overtopping warning
Two ferry sailings cancelled, two more at risk
Plans unveiled for new Patrick wetland
Police looking for witnesses after collision in Ramsey
Over 21,500 passengers have used the number 8 bus