The M1 is down to two lanes Northbound between Junction 36 to Junction 37.
The crash and a spillage on the motorway is causing tailbacks to develop on the road.
Highways England said: "#M1 J36 to 37 northbound - We have 2 lanes closed due to an RTC.
"Traffic is passing in lane 3 but we are starting to get a build up of congestion leading up to the scene.
"Contractors are en route to clean up a spillage which is spread across lanes 1 and 2.
"Congestion is now backing up to J36 - Delays expected whilst clean up takes place for the spillage.
"Contractors are due on scene shortly. Traffic Officers on scene managing the closure. Updates to follow once contractors reach scene."