Josh Scott scored for the second game running as Dagenham came from behind to deny promotion-chasing Burton.
Lee Bell's deflected strike gave the hosts a deserved first-half lead, after Calvin Zola, Robbie Weir and Alex MacDonald had all wasted good chances.
But Scott, back in the side after a loan spell at Ebbsfleet, levelled for the Daggers with a fine solo goal after the break.
Billy Kee and Weir wasted further chances for Albion as Dagenham held on.
The draw sees the Brewers drop to third in League Two following
Port Vale's win at York,
while the Daggers are 16th.
VIEW FROM THE DRESSING ROOM
Burton Albion manager Gary Rowett told BBC Radio Derby:
"I don't think you can ever be arrogant enough to turn your nose up at a point at Dagenham. It's always a difficult place to come.
"I just feel as though we didn't quite do enough in the final third to hurt them as we have done recently.
"Once the strikers got hold of it a little bit and got the ball wide, that's when we got most of our joy, but we just didn't do it often enough."
Dag & Red 01 Lewington 02 Wilkinson 03 Ilesanmi 04 Doe 18 Hoyte 12 Elito (Dennis - 46' ) 15 Saunders Booked 17 Howell 19 Ogogo 09 Strevens 10 Scott (Reed - 81' ) Substitutes 30 Seabright 11 Green 16 Maher 24 Bingham 14 Reed 26 Dennis 35 Shields Burton 13 Tomlinson 05 Diamond 20 O'Connor 24 Sharps 08 Weir 14 McCrory 19 Maghoma 23 Bell 10 Zola 26 MacDonald (Drury - 76' ) 29 Kee Booked (Paterson - 76' ) Substitutes 16 Lyness 02 Corbett 21 Holness 17 Phillips 22 Dyer 27 Drury 18 Paterson