John Dahlstrom had a goal and two assists for Medicine Hat, which hosts Game 7 Tuesday. Steven Owre and Max Gerlach also scored.
Egor Babenko had both goals for the Hurricanes.
Tigers goaltender Michael Bullion stopped 24 shots. Lethbridge's Stuart Skinner made 32 saves.
Medicine Hat was 3 for 6 on the power play while the Hurricanes scored once on three chances with the man advantage.