According to reports, the victim grazed a motorcycle rider with his vehicle while driving home after the close of work on Monday.
In the video, a man could also be heard speaking Hausa, confirming that the deceased was in his shop before he was hit by the stray bullet.
The IGP said the gesture was in support of families of gallant officers who died in active service, saying that it would enable them to earn a living.
The Plateau police command said they were working to ensure that Reverend Father James Kantoma regains his freedom.