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.

Ombudsman issues advice about mis-sold car loans
'Music Muratti' for young musicians in the Channel Islands
Jersey celebrates 81 years of Liberation
Victoria College twins with secondary school in Bad Wurzach
Jet2 increases capacity to Jersey by 140% for summer 2027
10-day Liberation International Music Festival gets underway
Flower mural in St Brelade's dubbed 'graffiti' and covered up
Future politicians called to action over visitor economy at 'tipping point'