The driver suffered minor injuries.
The gang of turkeys was crossing the road on the edge of Kingston near the Ulster County Jail when Ann Bredahl, 61, of Bloomington, about 5 miles south, swerved to avoid them and hit the beginning of a guardrail, the county sheriff's office said.
The collision caused her 2006 Honda CR-V to overturn and roll down an embankment, the office said.
The compact sport utility vehicle rolled over completely, coming to rest back on its four wheels.
Bredahl was taken to a hospital with minor injuries.
The sheriff's office did not say why the turkeys crossed the road.