Officers were called to reports of a serious crash on the A64 at around 11.50pm on Monday, May 3.
The car had veered off the carriageway, trapping the driver and two passengers.
The driver - a 22-year-old man - and rear seat passenger - the 16-year-old boy - were sadly pronounced dead at the scene.
The front seat passenger -a woman in her 20s from West Yorkshire - was taken to hospital with serious injuries.
The vehicle - a Vauxhall Insignia - was later reported stolen.
No other vehicles are believed to have been involved.
Anyone with information is urged to call North Yorkshire Police on 101, quoting reference number 12210110898.