Andrew Williams got the only goal as Hereford extended their run to eight games by winning at Dagenham.
Williams put the visitors ahead in the 12th minute with a right-foot shot after latching on to Guy Ipoua's flick.
The Bulls dominated the rest of the first half, with Williams, Ipoua and Jon Brady all going close.
The Daggers hit back after the interval but Paul Benson dragged their best chance wide, while Hereford's Jamie Pitman was only denied by the post.
Dag & Red: Roberts, Foster , Blackett, Uddin, Griffiths, Goodwin, Southam, Bruce (Cole 82), Moore, Mackail-Smith, Benson.
Subs Not Used: Overland, Frota, Ward, Kenny Clark.
Hereford: Mawson, Green, Mkandawire, James, Jeannin, Brady (Beckwith 84), Pitman, Stanley, Purdie, Ipoua, Williams (Carey-Bertram 74).
Subs Not Used: Lewis, Ferrell, Evans.
Goals: Williams 12.
Ref: D McDermidd (Catterick).