Police said the incident occurred on 19 November at Chisiku village, Chief Chitsungo, in Pfungwe, Mashonaland East.
They said the woman had a dispute with her husband but after retiring to bed, she woke up and struck her husband with an axe.
She also struck her daughter with the same axe.
The husband died from the injuries while the daughter escaped and alerted neighbours.
The woman was arrested in Mt Darwin the following day.
Police did not say whether the second wife was the man’s daughter or step daughter.