A 62-year-old woman was stabbed to death in the early hours of Friday in the northern city of Kiryat Ata.
The victim’s 42-year-old son was arrested on suspicion of murder.
Police were called to the scene after reports that the suspect was walking around a residential building, naked and holding a knife.
Officers carried out a search of the building and the woman’s body was then found in a stairwell.
According to reports, she had a stab wound to her head.
The Ynet news site said police were working on the assumption that the suspect had mental health issues.
Last month, a 30-year-old man was arrested over suspicions he killed his mother at her home in central Israel. The man showed up at a police station in Lod, and told officers he had murdered his 60-year-old mother. He directed them to the home, where her body was found.
Activists have long complained that not enough is done to prevent violence against women in Israel, particularly in cases known to the authorities.
In November, Transportation Minister Merav Michaeli, who also chairs a ministerial committee on gender equality, announced the allocation of NIS 155 million (approximately $45 million) for a national plan to combat violence against women.