There is a lane closed on the M621 westbound on an exit slip road which is causing very slow traffic.
It is due to an accident at J7 A61 for Stourton.
Emergency services have not yet confirmed how many people have died in the collision, which happened just before 1am.
The roads around Yorkshire's tallest building are expected to remain shut until 10am.
The M1 is shut northbound J42 at Lofthouse, causing congestion on the M1 to J39 A636 (Wakefield / Durkar).