Chris Brown -- Dirt Bike Bust in Amsterdam ... He's Cool with Cops (VIDEOS + PHOTO)

Chris Brown was hauled into a police station in Amsterdam for riding a dirt bike without a helmet and tags.
Amsterdam police tell TMZ the singer was pulled over Friday in the Red Light District after cops say they noticed he didn't have a license plate for the bike. That's a big no-no. We're told cops had Chris follow behind them to a station where he paid his fine.

Chris posted a vid while he was inside the station -- 'fessing up, but explaining it wasn't all bad. Actually, compared to his most recent run-in with cops ... he seems downright mellow.