Emergency services were called just after 1pm, to a report of a yellow Audi R8 being involved in a collision on the northbound carriageway near Milton Keynes.
Sadly, the driver of the vehicle - a man in his 50s - was pronounced dead at the scene. No other vehicles are believed to have been involved.
PC Felicity Moody from the Beds, Cambs and Herts roads policing unit said: “We have launched an investigation into the circumstances of this collision and are keen to hear from anyone who may have been in the area at the time and witnessed the incident.
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Appeal following fatal collision on M1 at Milton Keynes
“Our specially trained liaison officers are supporting the family at this difficult time.
“If you think you saw the car prior to the collision, or have any dash cam footage, then please get in touch.”
Anyone with information should call police on 101 or report online, quoting Operation Romeo.