At least two people including one foreigner were wounded in the attack, the journalist said.
Witnesses said that three armed men arrived in a 4x4 at around 9:30 pm and opened fire on customers seated outside the cafe.
Police and army arrived at the scene and sporadic gunfire could be heard into the night, the journalist said.
Burkina Faso, a poor landlocked nation bordering Mali and Niger, has seen a string of attacks claimed by jihadist groups in recent years.
By far the worst was an assault on a hotel and nearby cafe in central Ouagadougou in January 2016 that killed 30 people including several foreigners.
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