The accident occurred on the Delicias-Saucillo highway, the ADN40 broadcaster said.
According to various local media reports, citing eyewitnesses and emergency services, the bus crashed into the bridge support beam and rolled over, resulting in severe injuries and casualties.
Ten people were killed on the spot, and 32 more were hospitalized. Three people were later found to have died in the hospitals.
Every year, about 400,000 road accidents take place across Mexico, in which approximately 16,000 people die.