Ribble Valley Police said the incident happened this morning near Pendle Ski Club.
A spokesman said: "We are sorry to say that we've had to close Clitheroe Road, Sabden, near Pendle Ski Club, as a car has unfortunately skidded and overturned.
"We would really appreciate it if you could avoid the area for the timebeing whilst we make sure everyone is okay and deal with clearing the road. The council will also be putting some grit down to help avoid any further incidents.
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"We will update you once the road is back open."