The incident happened on the A923 Dundee to Coupar Angus road near Tullybaccart at about 02:30.
The 18-year-old was taken to Ninewells Hospital in Dundee but did not survive. Four other people in the car sustained minor injuries.
The road was closed for investigation work and officers are urging anyone who saw the car prior to the crash to contact them.
Diversions were in place and people travelling to the Rewind Festival in Perth were urged to allow extra time for their journey.
A teenager has died after a one-car crash on a road north of Dundee.