An Arabic statement on the three-minute video translated by SITE makes no demands for his release, but threatens "reciprocity" for any "treachery and treason" by the French and Nigerian governments.
At the time of his kidnapping, Ansaru said it was acting in retaliation for France's military intervention that helped wrest northern Mali from Islamic extremists and "transgressions" by European nations fighting Islamic extremists in Afghanistan. The video comes as Africa is reeling from the attack on a Kenyan mall that killed more than 60 people by al-Shabab militants demanding Kenya withdraw its troops from Somalia.
Ansaru is a breakaway faction of Boko Haram, the group staging an Islamic uprising in northeast Nigeria that has killed hundreds of civilians.
Britain formally designated Ansaru a terrorist organization after the killing of a kidnapped Briton and an Italian in a failed rescue attempt last year.
In March, Ansaru announced it had killed seven "Christian" foreigners kidnapped a month earlier from the compound of a Lebanese construction company. It said they were killed because Britain and Nigeria were planning a rescue, which Britain denied.
Ansaru has never released a hostage.