Shortly after 10.30am police were informed that a Vauxhall Corsa had left the road near to the top of the pass and was approximately 75 metres down the embankment.
The emergency services were called but sadly the female driver was pronounced dead at the scene.
A team from the North East Wales Mountain Rescue Team were called to assist with retrieving the body.
The road remains closed at this time whilst enquiries are ongoing.
Sergeant Raymond Williams from the Roads Policing Unit said: “We are appealing for anybody who may have witnessed the incident, or to anybody who may have seen a red coloured Vauxhall Corsa travelling up the Horseshoe Pass prior to it leaving the road to contact us quoting reference number U134728."
Contact with the Roads Policing Unit can be made either via 101 or via the live webchat /contact/chat-support.aspx