"Our confidence is up but it's still a work in progress," said Greene. "We got a big goal out of our third line and that got us going. It's a big win against a very good team."
"They battled in front of the net and it was a very physical game," said Vancouver defenseman Dan Hamhuis. "We were disappointed to lose, but you can't win every game."
The Canucks scored the first goal of the game as Daniel Sedin set up Bieksa's one-timer from the slot just 3:06 in.
That was it, though, as the Kings scored the next four goals.
Richardson tied the game at the 9:13 mark of the first as his second whack at a rebound got past Luongo.
The Kings then took a 2-1 lead 8:20 into the second when Greene's one-timer from the right point made its way through a screen.
Just under five minutes later, Los Angeles made it a 3-1 game on a backhand from Kopitar for his 11th of the season.
Williams sealed the win halfway through the third with a power-play goal for a 4-1 advantage.
Vancouver hosts San Jose on Monday...Los Angeles hosts Colorado on Monday...Vancouver had won the previous matchup this season, a 3-2 win in Los Angeles on November 10.