The NHL released its last of All-Star Game starters after the first period and the crowd was told during a break in the second period that Modano and Bill Guerin of the Stars were named to the Western Conference team.
Shortly after play resumed, Modano appeared to catch Patrick Roy off guard when he beat the All-Star goaltender with a slap shot from just inside the blue line at 6:52, giving the Stars a 2-1 lead.
The Dallas fans rose to their feet again when Morrow poked a rebound off a shot by Rob DiMaio past Roy less than a minute later, increasing the lead to 3-1.
Modano also assisted on a goal by Guerin in the first period and iced the victory with an empty-net tally with 1:24 left.
Dallas is 7
Colorado has dropped four of five after going 5-1
The game featured four All-Star starters. Colorado defenseman Rob Blake joined Roy on the West squad.