San Jose coach Peter DeBoer said, "We have to be more engaged physically, we have to be harder to play against. We didn't give them much until late in the third when they put a little bit of pressure on. We worked really hard at it."
Meier scored an empty-net goal with 1:26 left to make it 4-2.
"They got that empty net right away without us getting a chance to tie it up," Chicago forward Patrick Kane said. "This is how it's been going for us all year. It seems we take one step forward and two steps back almost every game."
After outshooting the Blackhawks 14-3 in the first period, the Sharks took a 1-0 lead when Patrick Marleau scored at 1:39 of the second.
"It feels good to get that first one, and we were able to build off that," said Marleau, who scored twice against Chicago in his season debut, a 5-4 win Oct. 10, but had been held without a goal in 10 games since. "It's nice playing with the lead."