Mr Macri said every 37 hours a woman was attacked in Argentina and that education was the key to ending deeply rooted cultural patterns of violence.
The plan, due to start next year, includes creating a network of women's refuges, and money for the electronic tagging of violent men.
Last year 235 women were killed in gender violence incidents in Argentina.
The government's National Plan for the Eradication of Violence against Women is putting into force a 2009 law.