Craig Mackail-Smith's late strike gave Dagenham victory and sent them to the top of the Conference table.
Halifax had most of the early possession but it was the home side who had the first effort on goal when Danny Foster's shot flew just over.
Shane Smeltz should have put Halifax ahead when he headed Tom Kearney's free-kick over before Kearney went close himself with a looping effort.
Dagenham created little until Foster crossed for Mackail-Smith to fire home.
Dag & Red: Roberts, Foster , Uddin, Blackett, Griffiths, Mackail-Smith, Southam (Strevens 61), Rainford, Sloma (Vernazza 61), Akurang, Benson.
Subs Not Used: Hogan, Cole, Lettejallow.
Goals: Mackail-Smith 80.
Halifax: Mawson, Doughty, Young, Quinn, Kearney, Smeltz, Killeen, Sugden (Joynes 78), Thompson (Torpey 83), Uhlenbeek, Gray (Foster 78).
Subs Not Used: Senior, Roberts.
Booked: Thompson, Doughty.
Ref: A Hendley (West Midlands).