Brian Boyle and Ryan Callahan also scored for the Lightning, who returned home after a 3-2 road trip against Western Conference teams.
Stamkos has 11 goals and 17 points in nine games against Chicago.
Chicago backup goalie Scott Darling stopped 25 shots.
The Blackhawks beat Florida 3-0 Thursday in their first game since losing leading scorer Patrick Kane, placed on long-term injured reserve Wednesday with a broken left collarbone suffered in Tuesday's 3-2 shootout win over the Panthers.
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