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.
TAKE A LOOK: Celebrating and remembering Liberation 80
Celebrations and commemorations are marking 80 years since Jersey was liberated from five years of Nazi rule during the Second World War.
Jersey marks Liberation 80
Celebrations and commemorations are marking 80 years since Jersey was liberated from five years of Nazi rule during the Second World War.
Rouge Bouillon to finally reopen
After almost half a year, St Helier's ringway will be open to traffic.
Children immortalised in new St Helier mural for Liberation 80
80 years later, David King and Dave Le Plongeon revisit a photograph of them celebrating their liberation, now immortalised in a mural on Pitt Street.
WATCH: £3m ad campaign promotes 'Jersey Royal season'
A £3 million national advertising campaign is promoting Jersey Royal potatoes.
Jersey Opera House 'ready' for Liberation Day reopening
Audiences will take their seats in Jersey Opera House for the first time in more than five years when it reopens on Liberation Day.
DFDS wants a new generation of Channel Island captains and crew
DFDS' apprenticeship programme in the coming academic year hopes to welcome a crew and team from Jersey.
Plaque unveiled to school headmaster who survived concentration camp
A former Jersey headmaster, who was the only British survivor of a German concentration camp, has been commemorated at St John's School.
