The festival's delegate-general, Alex Moussa Sawadogo, said Burkina Faso had been dealing with the insecurity for several years, but it remained important to show that culture and its people continue to exist.
"Organising an event like FESPACO is to show the world that Burkina Faso is a country that wants to continue writing stories of world cinema," he told Reuters.
In total, 170 films are being screened, including 15 feature films and about 30 short films in competition.
In the feature films category, movies from 13 countries are competing, including the movie Sira, directed by homegrown talent Apolline Traoré.
Despite costly international efforts to contain it, the insurgency has spread to neighbouring countries such as Burkina Faso and Niger, killing thousands of people and driving over 2 million from their homes.