Up to 19 people have reportedly been injured, while two have apparently died.
The overpass, which is approximately five kilometres from the Estadio Governador Magalhaes Pinto in Belo Horizonte - where a World Cup semi-final will be held on Tuesday, fell onto a number of vehicles in the city that is over 400 kilometres north of Rio de Janeiro.
The lead up to the World Cup has been dogged by construction disasters with a crane collapse having killed two workers at Sao Paulo's Arena Corinthians in November, while in Manaus a man working on the Arena Amazonia died after being hit by a crane.
In Sao Paulo in June - just before the tournament began - another construction worker, who was helping to build the monorail system, was killed when a section collapsed.
