The pictures were posted on Twitter by West Yorkshire Police Roads Police Unit in the early hours of Sunday morning.
READ: Man dies in M62 bridge fallThe smash is believed to have taken place near Upton in Wakefield and the driver and passenger 'miraculously' survived.
Police added in the tweet that the driver of the BMW provided a positive roadside breath test.
READ: Leeds-born Spice Girls singer Mel B admits using cocaine during time as X Factor judgeThe tweet read: "The driver of this vehicle has provided a positive roadside breath test.
"Driver and passenger have miraculously survived."