Jon Shaw struck a first-half brace for Halifax to help keep Northwich firmly rooted to the foot of the table.
Vics player-manager Paul Warhurst flashed a header wide before Shaw drilled in Town's opener from 12 yards.
The striker then scored his second from similar range before Lewis Killeen rifled home a third from 18 yards three minutes after the break.
Michael Coulson slotted in a consolation for the visitors from an acute angle after 64 minutes.
Halifax: Mawson, Toulson, Quinn, Belle, Wright, Killeen (Forrest 85), Kearney, Griffith, Torpey (Taylor 70), Campbell (Bushell 90), Shaw.
Subs Not Used: Doughty, Young.
Goals: Shaw 33, 36, Killeen 48.
Northwich: Connett, Battersby, Warhurst, Strong, Sharp (Wilson 41), Carr, Heslop, Brown, Maamria (Townson 69), Tait (Byrne 49), Coulson.
Subs Not Used: Andrew Murphy, Birch.
Booked: Brown, Wilson.
Goals: Coulson 65.
Ref: R Joyce (Yorkshire).