Edward Gabkwet, spokesperson of NAF, had disclosed the identities of the pilots but said their whereabouts were unknown.
But on Friday, Boko Haram released a video of its fighters bringing down the jet.
The video showed the fighters carrying artillery equipment and a corpse of one of the dead pilots.
In the seven minutes, thirty seconds video, Boko Haram fighters were seen moving in gun trucks and motor bikes, along a dusty road.
The military is yet to react to the claim of the insurgents.