Eastern Province Police Commissioner Luckson Sakala has named the victim as Sipiliyano Phiri, aged 49.
Mr. Sakala told Breeze FM News that Phiri picked a quarrel with his won over a cell phone battery.
He explained that the victim gave chase to his son who ran away.
Mr. Sakala added that in the process, the suspect picked up a brick and hit his father on the head.
He said the victim collapsed and died upon arrival at St. Francis Mission Hospital.