Nathan MacKinnon, who was named the Central Division captain for the 2019 All-Star Game on Thursday, had an assist and Gabriel Landeskog didn't have a point and was minus-2.
"I think we took time and space away from them," Stastny said of defending Colorado's top line. "[Golden Knights defenseman Brayden McNabb] was physical with them, [defenseman Nate Schmidt] had a good stick. We didn't let them stay in the zone too long."
Stastny tied it 1-1 at 11:40, getting his own rebound in the crease and scoring at the right post.
Colorado had two power plays in the final six minutes of regulation, but Fleury made five saves to preserve the lead.
"We did a good job taking those cross seams away. Those are good players, they're going to find them," Stastny said. "When [Fleury] makes saves like that, he controls the rebound, then it makes it so much easier for the D-man to clear it."