Canadian media identified the kidnapped man as Kirk Woodman. In a statement to CTV News, the family on Wednesday asked for privacy.
Canadian Foreign Minister Chrystia Freeland said on Wednesday the government was aware that a Canadian was missing in Burkina Faso and said it was working with local authorities.
Earlier this month, another Canadian man and an Italian woman went missing in Burkina, the security minister said. There has been no word since then on their fate.
Security has deteriorated over the last few years across the remote and arid Sahel region just south of the Sahara Desert. In response, the United States, France and other European powers have sent troops and equipment to help stamp out the threat.
Tuesday’s kidnapping occurred on the third anniversary of an attack at a hotel in the centre of the capital, Ouagadougou, that killed dozens, shocking a country that until then had largely been spared the violence that plagued its neighbours.
That attack was claimed by Al Qaeda in the Islamic Maghreb.