The promotion hopefuls were out of the traps early as Craig Robson headed in an excellent Luke Guttridge corner after 11 minutes.
Jordan Maguire-Drew made it 2-0 with a fine individual goal, dribbling into the box and curling past Michael Poke.
Fejiri Okenabirhie increased the lead from the penalty spot before half-time, scoring on the rebound after Poke had saved his initial effort.
Anthony Edgar pulled one back for the Cardinals in the second half, but it was to be the first time since 2010 that the Daggers had won three league games in a row.
Report supplied by the Press Association.
Match ends, Woking 1, Dagenham and Redbridge 3.
Second Half ends, Woking 1, Dagenham and Redbridge 3.
Substitution, Woking. Zak Ansah replaces Charlie Carter.
Substitution, Dagenham and Redbridge. Josh Staunton replaces Luke Guttridge.
Substitution, Woking. Gozie Ugwu replaces Max Kretzschmar.
Substitution, Dagenham and Redbridge. Corey Whitely replaces Jordan Maguire-Drew.
Goal!  Woking 1, Dagenham and Redbridge 3. Anthony Edgar (Woking).
Second Half begins Woking 0, Dagenham and Redbridge 3.
Substitution, Woking. Fabio Saraiva replaces Ben Gordon.
First Half ends, Woking 0, Dagenham and Redbridge 3.
Goal!  Woking 0, Dagenham and Redbridge 3. Fejiri Okenabirhie (Dagenham and Redbridge).
Goal!  Woking 0, Dagenham and Redbridge 2. Jordan Maguire-Drew (Dagenham and Redbridge).
Goal!  Woking 0, Dagenham and Redbridge 1. Craig Robson (Dagenham and Redbridge).
First Half begins.
Lineups are announced and players are warming up.
Dagenham and Redbridge notched a fourth win in their first five National League games, comfortably seeing off Woking 3-1 at the Kingfield Stadium.