Russell Maxwell scored once and set up two more for the Hurricanes (28-33-10) while Adam Henry and Graham Hood had a goal and an assist apiece.
Tyler Wong added a single goal to round out Lethbridge's offence.
Hunter Shinkaruk had a goal and an assist for the Tigers (35-33-3) and Matt Staples, Miles Koules and Curtis Valk each scored once.
Ty Rimmer made 44 saves for the win as Marek Langhamer turned away 43 shots in defeat.
Lethbridge went 0 for 5 on the power play while Medicine Hat scored once on seven chances with the man advantage.