Centre Kevin Hayes had a goal and three assists and Andrew Copp also scored for the Jets (45-26-4). The win marked Hellebuyck’s second shutout of the season and 14th of his career.
Pekka Rinne stopped 38 shots for the Predators (42-28-6), who are in second place in the Central Division, four points back of the Jets.
The Jets were starting a four-game homestand and are 5-1-0 in their past six games. They won the season series with the Predators 3-1.
Nashville was beginning a three-game road trip and is 3-2-1 in its past six games.