Emergency services rushed to the scene close to Junction 29 at around 3.30am.
A white Audi A3 had been travelling against the flow of traffic before the crash involving an Amazon lorry.
A police spokesperson said: “The male occupant of the Audi was confirmed dead at the scene a short time later.
“A road closure is in place while collision investigators establish exactly what happened.
“Officers from the Major Collision Enquiry Team are keen to hear from anyone who may have witnessed the manner of driving of the Audi prior to the collision.
“Anyone who may have witnessed the collision, the circumstances leading up to it or who may have video footage is asked to contact West Yorkshire Police by calling 101 or go online at www.westyorkshire.police.uk/101livechat quoting reference 231 of 9/3.