Jon Nurse's late goal ended Aldershot's unbeaten run at the Recreation Ground and snatched victory for Dagenham.
Shots took the lead when Kirk Hudson lobbed Tony Roberts after good work by Marvin Morgan down the right.
But Soloman Taiwo levelled with a curling free-kick inside the near post after Paul Benson was felled by Anthony Charles' clumsy challenge.
Morgan screwed an effort wide for Shots before Nurse stabbed in Peter Gain's cross at the back post to win it.
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Goals: Hudson 16.
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Booked: Griffiths, Gain.
Goals: Taiwo 27, Nurse 87.
Att: 3,697
Ref: Gavin Ward (Surrey).
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