Jimmy Howard made 23 saves in the win.
"This is the best game we've played in awhile," said Howard. "We stuck with our game plan."
Richards, who also registered a short-handed tally Thursday at Anaheim, gave the Kings a 1-0 lead early in the first period, beating Howard with a backhand just eight seconds into a Justin Williams tripping call.
He is the first Kings players to score short-handed goals in consecutive games since Ziggy Palffy did so in 2001.
But Datsyuk tied the game midway through the first, chipping in a backhander off a rebound for a power play goal.
At the 7:08 mark of the second period, the Red Wings again struck on the power play, as Kronwall lifted a goal-line pass from Tomas Holstrom past Quick for a 2-1 advantage.
Abdelkader's wrister late in the second made it a 3-1 contest and Datsyuk capped the scoring with a late-game snap shot past Quick.
"By the end of the second period they had the game going the way they wanted it," said Kings coach Terry Murray. "We just weren't skating the way we had in the last three games."
This was the first of four meetings between the Red Wings and Kings this season...Richards has tallied six goals over his last six games.