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.

Jedburgh Sheriff Court heard that 67 videos were found on Mark Ross's laptop following a police raid at a house in Creel Court, St Abbs.
They predominantly featured boys aged between eight and 12.
Ross, 49, from Gateshead,  admitted possession of indecent "pseudo photographs" of children between November 2010 and December 2013.
Procurator fiscal Graham Fraser said the videos had been found after police received information that someone had been accessing images of child abuse through the internet.
The court was told that Ross was a full-time carer for his mother and his lawyer Ross Dow added that his client had been fully co-operative with the police.
Sheriff Peter Paterson said: "These are not victimless crimes.
"But I do detect a significant degree of shame about your involvement."
Ross was also given a three-year community pay back order involving work with a Northumberland sex offenders programme.
A teenager has died after a one-car crash on a road north of Dundee.
[NEXT_CONCEPT]
A man found with extreme pornography on his computer has been placed on the sex offenders register for three years.