14 December 2015 Last updated at 10:18 GMT
Fire crews were called to the blaze on the eastbound hard shoulder, between junction 1 at Cadnam and junction 2 for Ower, just after 08:00 GMT.
Two lanes were closed for a short time.
An eyewitness said the driver of the Seat Leon managed to get out of the car before it was engulfed in flames.
A driver escaped unhurt when her car erupted into flames on the M27 in Hampshire.