They said while hitting his wife with a pestle, the tool landed on the child who was strapped to her mother’s back on January 17.
Upon realising that the child had died, the man fled, Tabora Regional Police Commander Wilbrod Mutafungwa said.
“The fight by the couple was caused by jealousy. Actually such cases cause so many killings in Tabora besides those caused by superstitious beliefs and vengeance,” he said.
Meanwhile, police are questioning 10 people on suspicion of stealing cargo from moving trucks at Pangale in Sikonge District.
Mr Mutafungwa said the ten belonged to a group people who had been stealing goods from moving trucks.
He said they would be taken to court when investigations are completed.