Polling stations opened at 08:00 a.m. local time (0700 GMT) on Sunday and will close at 08:00 p.m. local time (1900 GMT), with some 45.3 million people eligible to vote.
In the first round of the polls held last week, the FN, led by Marine Le Pen, topped the vote in six out of a total of 13 regions in the West European country. French regions enjoy wide powers over local education, transport and economic development.