Detroit will try to keep club-record streak going while playing five of its next seven games in its own building.
Nick Spaling tied it with 5:02 to go in the second period, the only goal allowed by Joey MacDonald.
MacDonald made 20 saves in Detroit's fifth straight win overall.
Rinne stopped 29 shots for the Predators, who have lost two in a row and five out of six.
Yosemite climber falls 30 feet, suffers major injuries
Turkey considering to use pistachios to heat country’s first eco-city