Terrible weather conditions made it difficult for either side to play football, with neither side able to break the deadlock.
Stanley started the brighter of the two, with full-back Chris King seeing his thunderous 30-yard strike saved by Daggers keeper Tony Roberts in the ninth minute, before John Miles hit the post from an acute angle a minute later.
Dagenham defender Magnus Okuonghae had the first chance for the home side in the 18th minute, rising highest in the Accrington box to head a Sam Saunders corner wide of the post.
Stanley skipper Paul Mullin tested Roberts with a fizzing shot from the edge of the box in the 37th minute before James Ryan volleyed a gilt-edged chance high and wide from close range moments later.
Ryan nearly made up for his miss in the 39th minute when he blasted against Roberts' post from 20 yards after wrong-footing Daggers defender Mark Arber.
Dagenham striker Paul Benson nearly snatched the lead for his side five minutes before the break but fired over the bar after running onto a clever Ben Strevens pass.
Roberts was forced to scramble across his goal to cover a rasping Ryan strike in the 48th minute which flew just wide of the post.
Daggers midfielder Matt Ritchie fired an inviting cross-cum-shot into the Stanley area in the 53rd minute but Benson slid in just too late to convert it.
Benson should have put his side ahead in the 61st minute when he shot straight at Accrington keeper, Kenny Arthur, after pouncing on a loose ball in the visitors' box.
Roberts spilled a Ryan strike in the 69th minute but recovered well to block at the feet of John Mullin who should have done better from point-blank range.
The home side pushed men forward in search of a winner in the last ten minutes, with Okuonghae heading narrowly wide from ten yards in the 84th minute, but Stanley held on for a point.