Crews were called to La Corbière on Sunday afternoon.
All emergency services were understood to be dealing with the incident close to the lighthouse.
It is believed a car went over the cliff edge and landed on its roof.
States of Jersey Police said the road remained open but asked people to avoid the area.

Two Jersey charity leaders become MBEs in King's Birthday Honours
Election voter turnout revealed
States members sworn in as Chief Minister discusses Ministerial options
Man (36) found guilty of child sexual abuse
Healthcare campaigners make a stand as new States is sworn in
Jersey students heading to university to receive Meningitis B vaccine
Farnham to remain Chief Minister
Hole in road causes gridlock in St Helier