TMZ obtained a copy of the lawsuit filed today in LA County Superior Court -- and according to the documents ... Brand was driving "negligently" when he collided with the plaintiff, Victor Sneed, back in January.
In the docs, Sneed claims he was a pedestrian, and suffered personal injury, property damage ... and incurred hospital bills as a result of the accident.
The suit does not detail Sneed's alleged injuries, but he does claim he lost wages after the accident.
Sneed is suing for more than 25k.
We've reached out to Brand for comment. So far, no word back.