With the contest tied 1-1, Lundqvist eased a shot past Chris Osgood for his second goal in the post-season.
It trimmed the Stars' deficit to 3-2 with game 6 in Dallas on Monday night.
They lost the first two games in the best-of-seven series.
It was Turco's first-ever victory at Detroit's Joe Louis Arena.
Jiri Hudler's goal on the power play at 15:30 of the first produced the tie while Osgood was beaten twice on 21 shots.
If a seventh game is needed, it will be played in Detroit next Wednesday.
Swim Week Miami Beach 2014 [PHOTOS]