Photographs posted to Facebook show the wreckage of the vehicle and Fabien is neck brace lying on a bed in what appears to be a hospital.
It is uncertain whether Fabien, a social and political activist best known for his comedy, was in St Lucia on business or on vacation.
The post reads : ”We are giving God all the glory this morning. Our beloved uncle @Errol Fabien was in an accident in St. Lucia last night. The taxi in which he was traveling was hit from behind and sent down a ditch. Uncle Errol is a bit shaken up, but safe and resting at the hospital.
A few scratches and bruises, but thankfully safe and sound. We’re sending him plenty love ups”.