The attacks took place in Ouagadougou on Friday, targeting the French Embassy and military headquarters.
The group said the attack was a response to a killing of one of its leaders by the French military, Al Akhbar news agency reported.
According to the country's officials, the attacks claimed eights lives, 80 people were injured. The French Interior Ministry said no French citizens were among the victims.
Burkina Faso has long been suffering from terrorist attacks. On August 13, two attackers opened fire on a restaurant on the capital's main avenue, killing 19 people. On January 15, 2016, terrorists attacked a hotel and restaurant in the city center, killing 30 people, including six Canadians and five Europeans. The attack was claimed by al Qaeda in the Islamic Maghreb (banned in Russia).
In 2014, France, along with Burkina Faso, Chad, Mali, Mauritania and Niger, launched Operation Barkhane, a military operation to combat jihadist activity in the Sahel region.
