The men, aged 20 and 22, from Sheffield, were travelling in a white Volkswagen Golf northbound on the M1 between Junction 30 and 31 at around 7.29pm, when the driver of the car is believed to have lost control of the car.
The vehicle veered off the road and hit a barrier and several trees before ending up on its roof
The two men were sadly pronounced dead at the scene.
The men's families have been informed and are being supported by trained officers from South Yorkshire Police.
Officers investigating the crash are appealing for anyone who saw it, or saw the Golf being driven prior, to get in touch.
A police spokeswoman said: "We are especially keen to hear from anyone with dash cam footage which captured the Golf travelling along the M1 between 7pm and 7.29pm on Sunday."
Anyone with information can call police on 101, quoting incident number 873 of April 4.