The first half was closely contested, but the Daggers' Corey Whitely put his side in front with a vicious cross-shot that deceived Scott Davies in the home goal.
At the other end, Andy Cook fed James Wallace, who threatened to equalise, but his shot was well saved by Elliot Justham.
After the interval, Dagenham extended their lead inside two minutes. Oli Hawkins cemented his position in the top three of the goalscorer charts when he beat Davies at the end of a fine solo run - his 17th of a productive season so far.
Report supplied by Press Association.
Match ends, Tranmere Rovers 0, Dagenham and Redbridge 2.
Second Half ends, Tranmere Rovers 0, Dagenham and Redbridge 2.
Substitution, Dagenham and Redbridge. Scott Doe replaces Jake Sheppard.
Substitution, Dagenham and Redbridge. Jordan Maguire-Drew replaces Fejiri Okenabirhie.
Substitution, Tranmere Rovers. Cole Stockton replaces Andy Mangan.
Substitution, Dagenham and Redbridge. Luke Howell replaces Corey Whitely.
Shaun Donnellan (Dagenham and Redbridge) is shown the yellow card.
Craig Robson (Dagenham and Redbridge) is shown the yellow card.
Substitution, Tranmere Rovers. James Norwood replaces Steven Jennings.
Goal!  Tranmere Rovers 0, Dagenham and Redbridge 2. Oliver Hawkins (Dagenham and Redbridge).
Substitution, Tranmere Rovers. Ben Tollitt replaces Jake Kirby.
Second Half begins Tranmere Rovers 0, Dagenham and Redbridge 1.
First Half ends, Tranmere Rovers 0, Dagenham and Redbridge 1.
Goal!  Tranmere Rovers 0, Dagenham and Redbridge 1. Corey Whitely (Dagenham and Redbridge).
First Half begins.
Lineups are announced and players are warming up.
Dagenham & Redbridge's 2-0 victory at Tranmere lifted the visitors above the Merseysiders in the play-off places.