Gravesend extended their unbeaten run to nine matches against Dagenham.
The visitors started brightly and went close when Paul Benson's header was tipped round the post by Gravesend keeper Lance Cronin.
Gravesend wasted a glorious chance to take the lead when Jon Keeling's cross was headed wide by Luke Moore.
After the interval, Gravesend's Charlie MacDonald fired wide from 30 yards and in injury time Dagenham's Paul Bruce headed over the bar from six yards.
Gravesend: Cronin, James Smith, McCarthy, Ross Smith, Ricketts, DeBolla, Quinn, Slatter, Keeling (Opinel 45), Moore (Sodje 68), MacDonald.
Subs Not Used: Purcell, Mott, Ekoku.
Dag & Red: Roberts, Foster , Cole (Akurang 54), Uddin, Griffiths, Saunders, Southam, Rainford, Sam Sloma (Bruce 80), Mackail-Smith, Benson.
Subs Not Used: Batt, Lettejallow, Hogan.
Booked: Cole, Akurang.
Ref: G Lewis (Cambridgeshire).