The message was posted shortly before the crunch round-of-16 knock-out game at the Mineirao Stadium in the southeastern city of Belo Horizonte.
"The (Twitter) account of the Federal Police was hacked. The information about a bomb scare at Mineirao Stadium on Saturday afternoon during the Brazil-Chile game was false," the agency said in a statement.
The tweet, which was later removed, read: "The bomb threat at Mineirao was confirmed, the evacuation of the venue is not ruled out.