Both countries have been told they could face points deductions or even elimination from the competition if there is a repeat of the trouble.
"Both Bosnia-Herzegovina and Poland have been warned as to their future conduct," world football's governing body said in a statement.
"Should incidents of such gravity occur again, harsher sanctions, such as a points deduction or elimination of the representative team from a respective tournament, will be imposed by the FIFA Disciplinary Committee."
"Between 45 and 50 fireworks were set off by the Bosnian supporters, with a large number landing on the pitch," said FIFA.
"The match had to be interrupted for eight minutes and the teams sent back to the changing rooms. A Bosnian supporter also invaded the pitch during the game."
"Polish supporters set off a number of fireworks at the beginning of the match, five of which were thrown onto the pitch. Later in the same match, police had to enter one of the Polish supporters´ areas of the stadium and had various objects thrown at them," said FIFA.
