Jake Oettinger made 19 saves for his third shutout of the season, and Jason Robertson had a goal and an assist for the Stars (4-3-1), who have won two straight and are 4-1-1 in their past six.
Spencer Knight made 28 saves for the Blackhawks (3-6-0), who had won two in a row.
Robertson gave the Stars a 1-0 lead with a power-play goal at 4:58 of the second period. He scored from the bottom of the left face-off circle after receiving a short return pass from Mikko Rantanen.
Hyry increased the lead to 2-0 at 14:10, taking a pass from Sam Steel and finishing a 2-on-1 rush with a wrist shot from the right circle.
Hyry then made it 3-0 at 1:27 of the third period. He took a strech pass from Nils Lundkvist, skated into the left circle, and roofed a backhand over Knight’s glove.
Roope Hintz buried a wrist shot under the crossbar from the left face-off dot at 9:40 for the 4-0 final.
