Troubleshooters have been on site since 9 o'clock on Sunday to fix the line.
The Öresund trains are canceled between Hässleholm and Osby and the Krösatågen trains are canceled between Hässleholm and Älmhult.
The electrical fault also affects long-distance traffic between Malmö and Stockholm and Malmö and Kalmar.
Difficult to get buses
Skånetrafiken says that on Sunday it is difficult to get replacement buses.
The Swedish Transport Administration currently has no exact forecast for when the overhead contact line may have been repaired.
However, the trains will not be able to run in the evening and at night, but only on Monday.