The West Yorkshire Police Helicopter was involved in a pursuit of a black Renault Clio which crashed into a street light at Rishworth in the early hours.
All four occupants of the vehicle were uninjured and are currently in custody.
A police spokesman said the car was heading towards Lockwood when it failed to stop.
Officers followed it onto the M62 and it came off at J22 Rishworth around 2.20 am with the helicopter monitoring its movements.
The car was travelling around 70 mph when it left the M62.
It crashed on the A672 Elland Road and no other vehicles were involved.